CPT using taxonomy in permalink

post-types.php

<?php
// Make CPT use taxonomy permalink
//--------------------------------------
	add_filter('post_type_link', '<CPT>_permalink_filter_function', 1, 3);
	function <CPT>_permalink_filter_function( $post_link, $id = 0, $leavename = FALSE ) {
		if ( strpos('%<TAXONOMY>%', $post_link) === 'FALSE' ) {
		  return $post_link;
		}
		$post = get_post($id);
		if ( !is_object($post) || $post->post_type != '<CPT>' ) {
		  return $post_link;
		}
		$terms = wp_get_object_terms($post->ID, '<TAXONOMY>');
		if ( !$terms ) {
		  return str_replace('<CPT>/%<TAXONOMY>%/', '', $post_link);
		}
		return str_replace('%<TAXONOMY>%', $terms[0]->slug, $post_link);
	}
	
	// this is the 'rewrite' param inside your register_post_type() function
	'rewrite' => array( 'slug' => '<CPT>/%<TAXONOMY>%', 'with_front' => false ),
?>

Swap out the and with the indentifier of your CPT / taxonomy.
Refresh permalinks afterwards.