Correct Post Count ( All | Published | Drafts | Pending | Trash ) for Custom Post Type when restricting to view own posts

I want to restrict users in wordpress to view their own post and media items only.
Following the steps given in the below link I have developed the plugin to restrict users to view the own posts and media items only.

https://wordpress.stackexchange.com/a/34858/12615

// Show only posts and media related to logged in author
add_action('pre_get_posts', 'query_set_only_author' );
function query_set_only_author( $wp_query ) {
    global $current_user;
    if( is_admin() && !current_user_can('edit_others_posts') ) {
        $wp_query->set( 'author', $current_user->ID );
        add_filter('views_edit-post', 'fix_post_counts');
        add_filter('views_upload', 'fix_media_counts');
    }
}

// Fix post counts
function fix_post_counts($views) {
    global $current_user, $wp_query;
    unset($views['mine']);
    $types = array(
        array( 'status' =>  NULL ),
        array( 'status' => 'publish' ),
        array( 'status' => 'draft' ),
        array( 'status' => 'pending' ),
        array( 'status' => 'trash' )
    );
    foreach( $types as $type ) {
        $query = array(
            'author'      => $current_user->ID,
            'post_type'   => 'post',
            'post_status' => $type['status']
        );
        $result = new WP_Query($query);
        if( $type['status'] == NULL ):
            $class = ($wp_query->query_vars['post_status'] == NULL) ? ' class="current"' : '';
            $views['all'] = sprintf(
            '<a href="https://wordpress.stackexchange.com/questions/178236/%1$s"%2$s>%4$s <span class="count">(%3$d)</span></a>',
            admin_url('edit.php?post_type=post'),
            $class,
            $result->found_posts,
            __('All')
        );
        elseif( $type['status'] == 'publish' ):
            $class = ($wp_query->query_vars['post_status'] == 'publish') ? ' class="current"' : '';
            $views['publish'] = sprintf(
            '<a href="https://wordpress.stackexchange.com/questions/178236/%1$s"%2$s>%4$s <span class="count">(%3$d)</span></a>',
            admin_url('edit.php?post_type=post'),
            $class,
            $result->found_posts,
            __('Publish')
        );
        elseif( $type['status'] == 'draft' ):
            $class = ($wp_query->query_vars['post_status'] == 'draft') ? ' class="current"' : '';
            $views['draft'] = sprintf(
            '<a href="https://wordpress.stackexchange.com/questions/178236/%1$s"%2$s>%4$s <span class="count">(%3$d)</span></a>',
            admin_url('edit.php?post_type=post'),
            $class,
            $result->found_posts,
            __('Draft')
        );
        elseif( $type['status'] == 'pending' ):
            $class = ($wp_query->query_vars['post_status'] == 'pending') ? ' class="current"' : '';
            $views['pending'] = sprintf(
            '<a href="https://wordpress.stackexchange.com/questions/178236/%1$s"%2$s>%4$s <span class="count">(%3$d)</span></a>',
            admin_url('edit.php?post_type=post'),
            $class,
            $result->found_posts,
            __('Pending')
        );
        elseif( $type['status'] == 'trash' ):
            $class = ($wp_query->query_vars['post_status'] == 'trash') ? ' class="current"' : '';
            $views['trash'] = sprintf(
            '<a href="https://wordpress.stackexchange.com/questions/178236/%1$s"%2$s>%4$s <span class="count">(%3$d)</span></a>',
            admin_url('edit.php?post_type=post'),
            $class,
            $result->found_posts,
            __('Trash')
        );
        endif;
    }
    return $views;
}

// Fix media counts
function fix_media_counts($views) {
    global $wpdb, $current_user, $post_mime_types, $avail_post_mime_types;
    $views = array();
    $count = $wpdb->get_results( "
        SELECT post_mime_type, COUNT( * ) AS num_posts 
        FROM $wpdb->posts 
        WHERE post_type="attachment" 
        AND post_author = $current_user->ID 
        AND post_status != 'trash' 
        GROUP BY post_mime_type
    ", ARRAY_A );
    foreach( $count as $row )
        $_num_posts[$row['post_mime_type']] = $row['num_posts'];
    $_total_posts = array_sum($_num_posts);
    $detached = isset( $_REQUEST['detached'] ) || isset( $_REQUEST['find_detached'] );
    if ( !isset( $total_orphans ) )
        $total_orphans = $wpdb->get_var("
            SELECT COUNT( * ) 
            FROM $wpdb->posts 
            WHERE post_type="attachment"
            AND post_author = $current_user->ID 
            AND post_status != 'trash' 
            AND post_parent < 1
        ");
    $matches = wp_match_mime_types(array_keys($post_mime_types), array_keys($_num_posts));
    foreach ( $matches as $type => $reals )
        foreach ( $reals as $real )
            $num_posts[$type] = ( isset( $num_posts[$type] ) ) ? $num_posts[$type] + $_num_posts[$real] : $_num_posts[$real];
    $class = ( empty($_GET['post_mime_type']) && !$detached && !isset($_GET['status']) ) ? ' class="current"' : '';
    $views['all'] = "<a href="upload.php"$class>" . sprintf( __('All <span class="count">(%s)</span>', 'uploaded files' ), number_format_i18n( $_total_posts )) . '</a>';
    foreach ( $post_mime_types as $mime_type => $label ) {
        $class="";
        if ( !wp_match_mime_types($mime_type, $avail_post_mime_types) )
            continue;
        if ( !empty($_GET['post_mime_type']) && wp_match_mime_types($mime_type, $_GET['post_mime_type']) )
            $class=" class="current"";
        if ( !empty( $num_posts[$mime_type] ) )
            $views[$mime_type] = "<a href="upload.php?post_mime_type=$mime_type"$class>" . sprintf( translate_nooped_plural( $label[2], $num_posts[$mime_type] ), $num_posts[$mime_type] ) . '</a>';
    }
    $views['detached'] = '<a href="upload.php?detached=1"' . ( $detached ? ' class="current"' : '' ) . '>' . sprintf( __( 'Unattached <span class="count">(%s)</span>', 'detached files' ), $total_orphans ) . '</a>';
    return $views;
}

It works well but the post count does not work for custom post type.

i.e All | Published | Drafts | Pending | Trash – counts for custom posts does not work.

For user as admin these are the screenshots for post_type = “post” and post_type= “gallery”

For user as atuhor these are the screenshots for post_type = “post” and post_type= “gallery”.

The post count works well for post_type = “post” but when it comes to post_type= “gallery” in second screenshot there is a problem in the

All | Published | Drafts | Pending | Trash | ,part

I applied the above code and got the results as given in image below, the posts count is one but none is displayed as the post is of another user.

What i want to correct is the post count!!!

This is the image in which the post count is 0 for post_type= “posts” which is correct and wanted it to be followed for gallery

This is the image in which the post count is 1 for post_type= “gallery” which is wrong as it should be 0 and should be followed same as in the case of posts.

You have to change:

'post_type'   => 'post',

To:

'post_type'   => 'your_custom_post_type_name',

And a all the reference to standard post. Also, you should add the filters only for main query or you can end up with issues in secondary queries. Bellow an example code for gallery custom post type. I was trying to debug the code you posted (taken from somewhre) but finally I’ve decided to post a working code I already use, which is much cleaner (it doesn’t include the counter for media (uploads) but, as your question suggest, you have not problems with that).

add_action( 'pre_get_posts', function( $query ) {

    //Note that current_user_can('edit_others_posts') check for
    //capability_type like posts, custom capabilities may be defined for custom posts
    if( is_admin() && ! current_user_can('edit_others_posts') && $query->is_main_query() ) {

        $query->set('author', get_current_user_id());

        //For standard posts
        add_filter('views_edit-post', 'views_filter_for_own_posts' );

        //For gallery post type
        add_filter('views_edit-gallery', 'views_filter_for_own_posts' );

        //You can add more similar filters for more post types with no extra changes
    }

} );

function views_filter_for_own_posts( $views ) {

    $post_type = get_query_var('post_type');
    $author = get_current_user_id();

    unset($views['mine']);

    $new_views = array(
            'all'       => __('All'),
            'publish'   => __('Published'),
            'private'   => __('Private'),
            'pending'   => __('Pending Review'),
            'future'    => __('Scheduled'),
            'draft'     => __('Draft'),
            'trash'     => __('Trash')
            );

    foreach( $new_views as $view => $name ) {

        $query = array(
            'author'      => $author,
            'post_type'   => $post_type
        );

        if($view == 'all') {

            $query['all_posts'] = 1;
            $class = ( get_query_var('all_posts') == 1 || get_query_var('post_status') == '' ) ? ' class="current"' : '';
            $url_query_var="all_posts=1";

        } else {

            $query['post_status'] = $view;
            $class = ( get_query_var('post_status') == $view ) ? ' class="current"' : '';
            $url_query_var="post_status=".$view;

        }

        $result = new WP_Query($query);

        if($result->found_posts > 0) {

            $views[$view] = sprintf(
                '<a href="https://wordpress.stackexchange.com/questions/178236/%s"'. $class .'>'.__($name).' <span class="count">(%d)</span></a>',
                admin_url('edit.php?'.$url_query_var.'&post_type=".$post_type),
                $result->found_posts
            );

        } else {

            unset($views[$view]);

        }

    }

    return $views;
}