We don't currently record Likes in the database. We just send the email to the admins (or whoever you select). If you wanted to, you could add a save to the database as well, but it's not always guaranteed that the user will be logged in, or even a member of your site, so there's only so much you could save.
If interested in adding some, and you have a developer that can do so, the code you'd want to modify would be in the /components/com_jfbconnect/controllers/social.php. There's a "likeCreate" function that you can easily add a write to the database, or do anything else you need.
Hope that helps,
Alex