Hey there,
I am really sorry for the delay of this reply as it is a weekend for us here.
May i know what error i shown when you click sign in via Facebook button from your site backend > Easyblog > autoposting > Facebook ?
And what is your current Facebook app version?
If your current Facebook app version is 3.0, you have to submit these following for review.
1. publish_to_groups (autopost to group)
2. Groups API (autopost to group)
3. manage_pages (autopost to page)
4. publish_pages (autopost to page)
Once you get approved by Facebook reviewer, then you can able to autopost to your site Facebook page