I'm sorry for the delay in response. What you're asking can be accomplished with our Channels feature in JFBConnect. When the Joomla article is published, we can automatically push a post to the FB page.
You can find detailed instructions at our
Quick Start Guide
for "Post Content to Social Networks".
In general, you'll have to 1) create a channel to the FB page 2) set the channel owner to an administrator of the FB page 3) set up an Open Graph object to that specific category and then 4) configure the autopost options in the channel. There are other nuances such as accepting permissions, etc, so I highly encourage you to read the Quick Start Guide section first. Of course, if you have any further questions, please let us know.
-Melissa