In another question of yours, you were pointed to the plugin WP Favorite Posts, but you seem to have settled with this premium one from Code Canyon.
So, the matter is how to integrate it with a Profile/Registration management plugin, and for that maybe Theme My Login would be a good candidate, as you can customize and add custom code to the following templates:
- login-form.php
- lostpassword-form.php
- profile-form.php
- register-form.php
- resetpass-form.php
- user-panel.php
In a side note, maybe this question can be considered overly broad, so I urge you to read the full FAQ of this Stack.