Redirect to listing page after post save

Check out the redirect_post_location filter. Here’s a sample for a custom post type ‘school’ to redirect to the admin page after save:

function my_redirect_after_save( $location, $post_id ) {
        if ( 'school' == get_post_type( $post_id ) ) {
            $location = admin_url( 'admin.php?page=schools' );
        }
        return $location;
    }

add_filter( 'redirect_post_location', 'my_redirect_after_save' );