Reply To: display cpt AND custom Taxonomy next to post title in results page

Well, you can check the $r->taxonomy variable it it exists, if so, then the current result is a taxonomy term:

add_filter( 'asp_results', 'asp_show_the_more_info', 10, 1 );
function asp_show_the_more_info( $results ) {
  foreach ($results as $k=>&$r) {
		if ( isset($r->post_type) ) {
			// Modify the post type post title
			$r->title = get_post_type( $r->id ) . ' - ' . $r->title;
		} else if ( isset($r->taxonomy) ) {
			// Modify the taxonomy term type post title
			$term = get_term( $r->id );
			$r->title = $term->taxonomy . ' - ' . $r->title;
        }
  }
  
  return $results;
}

This will print the taxonomy name or the post type name before the result.