Как подключить пагинацию к своим типам записей?

function custom_pagination($numpages = '', $pagerange = '', $page='') {
	if (empty($pagerange)) {
		$pagerange = 2;
	}
	
	if ($numpages == '') {
	  	global $wp_query;
	  	$numpages = $wp_query->max_num_pages;
	  	if(!$numpages) {
	      	$numpages = 1;
	  	}
	}
	
	$pagination_args = array(
	  	'base'            => get_pagenum_link(1) . '%_%',
	  	'format'          => 'page/%#%',
	  	'total'           => $numpages,
	  	'current'         => $page,
	  	'show_all'        => true,
	  	'end_size'        => 1,
	  	'mid_size'        => $pagerange,
	  	'prev_next'       => false,
	  	'prev_text'       => false,
	  	'next_text'       => false,
	  	'type'            => 'plain',
	  	'add_args'        => false,
	  	'add_fragment'    => ''
	);
	
	$paginate_links = paginate_links($pagination_args);
	
	if ($paginate_links) {
		echo "<div class='pagination'>";
		echo $paginate_links;
		echo "</div>";
	}
}

if ( is_front_page() ) {
    	$paged = ( get_query_var('page') ) ? get_query_var('page') : 1;
  	} 
  	else {
    	$paged = ( get_query_var('paged') ) ? get_query_var('paged') : 1;
  	}

$args = array(
            'posts_per_page' => 4,
            'post_type' 	 => 'news',
            'paged' => $paged,
  		'page' => $paged,
          );

// тут код вывода записей

// а это пагинация
custom_pagination($the_query->max_num_pages, "", $paged);

<?php 
          if ( is_front_page() ) {
           $paged = ( get_query_var('page') ) ? get_query_var('page') : 1;
            } 
          else {
            $paged = ( get_query_var('paged') ) ? get_query_var('paged') : 1;
          }

          $args = array(
            'posts_per_page' => 8,
            'post_type' 	 => 'news',
            'paged' => $paged,
            'page' => $paged,
          );

          // тут код вывода записей
          $wp_query = new WP_Query( $args );
          if ( $wp_query->have_posts() ) :
            while ( $wp_query->have_posts() ) : $wp_query->the_post(); 
            ?>
              <div class="news__item">
                <div class="news__top">
                  <p class="news__date"><?php the_time('d.m.Y', $before = '', $after = '', $echo = true); ?></p>
                  <p class="news__category">Новости</p>
                </div>
                <div class="news__image"><?php the_post_thumbnail('news-preview', ''); ?></div>
                <a href="<?php the_permalink(); ?>"><h3 class="news__title"><?php the_title(); ?></h3></a> 
              </div>
                        
            <?php endwhile;
          endif; ?>
                      
          <?php
          wp_reset_postdata();

          custom_pagination($wp_query->max_num_pages, "", $paged);
          
        ?>

function codernote_request($query_string ) {
  if ( isset( $query_string['page'] ) ) {
    if ( ''!=$query_string['page'] ) {
      if ( isset( $query_string['name'] ) ) {
        unset( $query_string['name'] ); }
      }
    }
    return $query_string;
}
add_filter('request', 'codernote_request');

add_action('pre_get_posts', 'codernote_pre_get_posts');
function codernote_pre_get_posts( $query ) {
  if ( $query->is_main_query() && !$query->is_feed() && !is_admin() ) {
    $query->set( 'paged', str_replace( '/', '', get_query_var( 'page' ) ) );
  }
}