Feeds between FB and website

Iouru,
There's a few things that may be getting confused here, but hopefully I can explain.

JFBConnect currently supports Open Graph Actions for automatically posting activity that a user takes on your site. We mention 'Groups' in a few places because we integrate with JomSocial's group system. If a user joins a JomSocial group, a post can be made automatically to that user's Facebook Timeline, like "I just joined group xyz".

You may be talking about posting content to a Facebook Group. Right now, JFBConnect doesn't support that. However, tomorrow, we'll be releasing JFBConnect v6.0. With that, we'll have the ability to create a social "Channel", like a Facebook Group, where you (the admin) can choose to post content from your site with a custom message. That 'channel' could also be used to automatically push content to a Facebook Group (or Page or Twitter Stream or LinkedIn Company, etc). We won't immediately have integration to auto-push content, but that's coming in (likely) the next release. For now though, we could help you with some code that could be added to other extensions to automatically post to one of the social channels you've configured.

I hope that explains, but if you're looking for something else, or have any feedback, just let us know.

Thanks,
Alex