I have the FB 2014 app on my 920. When I want to share a pic I don't have FB listed in the apps to share it. I have messaging one note and twitter. Does anyone know how to share to FB?
I think you may not have the official Facebook app.. Uninstall your current app and make sure the Facebook app you download is made by Microsoft Corporation.
Go to Settings => email+accounts and make sure your email address is listed under "Facebook".
The app is not needed to share through the native functions (I think.....) but I do agree you probably do not have the official app if it is called "Facebook 2014".
Here is a link for the official app. It is published by Microsoft (always make sure to check the publisher when looking for something official... 3rd party apps could exist solely to steal your account information) Facebook | Windows Phone Apps+Games Store (United States)