function _pad_term_counts( &$terms, $taxonomy ) {
  global $wpdb;

  // This function only works for hierarchical taxonomies like post categories.
  if ( ! is_taxonomy_hierarchical( $taxonomy ) ) {
    return;
  }

  $term_hier = _get_term_hierarchy( $taxonomy );

  if ( empty( $term_hier ) ) {
    return;
  }

  $term_items  = array();
  $terms_by_id = array();
  $term_ids    = array();

  foreach ( (array) $terms as $key => $term ) {
    $terms_by_id[ $term->term_id ]       = & $terms[ $key ];
    $term_ids[ $term->term_taxonomy_id ] = $term->term_id;
  }

  // Get the object and term ids and stick them in a lookup table.
  $tax_obj      = get_taxonomy( $taxonomy );
  $object_types = esc_sql( $tax_obj->object_type );
  $results      = $wpdb->get_results( "SELECT object_id, term_taxonomy_id FROM $wpdb->term_relationships INNER JOIN $wpdb->posts ON object_id = ID WHERE term_taxonomy_id IN (" . implode( ',', array_keys( $term_ids ) ) . ") AND post_type IN ('" . implode( "', '", $object_types ) . "') AND post_status = 'publish'" );
  foreach ( $results as $row ) {
    $id                                   = $term_ids[ $row->term_taxonomy_id ];
    $term_items[ $id ][ $row->object_id ] = isset( $term_items[ $id ][ $row->object_id ] ) ? ++$term_items[ $id ][ $row->object_id ] : 1;
  }

  // Touch every ancestor's lookup row for each post in each term.
  foreach ( $term_ids as $term_id ) {
    $child     = $term_id;
    $ancestors = array();
    while ( ! empty( $terms_by_id[ $child ] ) && $parent = $terms_by_id[ $child ]->parent ) {
      $ancestors[] = $child;
      if ( ! empty( $term_items[ $term_id ] ) ) {
        foreach ( $term_items[ $term_id ] as $item_id => $touches ) {
          $term_items[ $parent ][ $item_id ] = isset( $term_items[ $parent ][ $item_id ] ) ? ++$term_items[ $parent ][ $item_id ] : 1;
        }
      }
      $child = $parent;

      if ( in_array( $parent, $ancestors ) ) {
        break;
      }
    }
  }

  // Transfer the touched cells.
  foreach ( (array) $term_items as $id => $items ) {
    if ( isset( $terms_by_id[ $id ] ) ) {
      $terms_by_id[ $id ]->count = count( $items );
    }
  }
}