When I linked up my etsy account to my facebook page, the only change was on my Etsy shop (a direct link to like your facebook page should be somewhere near your shop banner), and whenever I made a new listing, I could promote it to my facebook page.
There is another app you can get which shows your etsy shop on your facebook page tabs (alongside your info, about, photos sections etc.). I think this app is called, my etsy... I'll just try find a link for you...
https://apps.facebook.com/myetsy/?ref=tsthere you go! Simply add it to your page, and make sure you log in to set it up completely - I've had problems before where someone else has beat me to it, and logged in and their shop was set up on my page! Disaster!
Good luck and hope that's been of some help :)