I believe you would have to do this:
add_action( 'generate_after_entry_content', 'tu_cpt_footer_meta' );
function tu_cpt_footer_meta() {
if ( is_singular( 'your-post-type' ) || is_post_type_archive( 'your-post-type' ) ) : ?>
<footer class="entry-meta">
<?php generate_entry_meta(); ?>
<?php generate_content_nav( 'nav-below' ); ?>
<?php
$term_list = wp_get_post_terms( get_the_ID(), 'your_custom_taxonomy_slug', array("fields" => "all"));
foreach ( $term_list as $term_single ) {
echo $term_single->slug;
}
?>
</footer><!-- .entry-meta -->
<?php endif;
}