How to display custom post type tags?

You can use get_the_term_list() to output a list of links:

<?php echo get_the_term_list( get_the_ID(), 'members_tags', '', ',' ); ?>

That will output a comma-separated list of links to attached member_tags.

If you want the raw tags so you have more control over HTML, use get_the_terms()

<?php $member_tags = get_the_terms( get_the_ID(), 'members_tags' ); ?>