You're conflating the PHP and Javascript libraries.
$jfbcLibrary = JFBCFactory::provider('facebook');
This is PHP code that will get the JFBConnect's wrapper to the Facebook PHP library. This can't do any Javascript.
You could do that call in PHP if you want to load something from your server before the page renders, like:
<?php
$myLikes = JFBCFactory::provider('facebook')->client->api('/me/likes');
Note, in the facebook.php file, there is an api() function, but I'm bypassing that above and going straight to Facebook's PHP library. Our api call has a different parameter ordering from some of the original Facebook libraries. We haven't updated it, but using the code I show above helps map more 1:1 with Facebook's PHP examples.
As for Javascript, we don't 'wrap' the Facebook Javascript library, so you can call it directly. You'll just need to make sure you're doing it after the Facebook Javascript library has fully loaded, as noted in your previous post. So:
$jfbcLibrary->api('/me/likes/106444396111231', function(like_response)
Should be:
I hope that helps get you going!
Alex