How to auto-sync past and future posts of wordpress blog to Facebook page (not group)?
IFTTT may solve your problem. With a quick recipe, you can create a sync for both directions:
1 - Create a post in Facebook and a new WordPress post is generated
2 - Create a new post on WordPress and a new Facebook post (works on FB profiles or pages) is generated.
Recipes that I found (may be better to create you own, though):
1 - https://ifttt.com/recipes/17171-when-i-post-a-status-to-facebook-publish-it-on-wordpress
2 - https://ifttt.com/recipes/10336-add-a-new-wordpress-post-it-updates-your-facebook-page-with-a-link-post
I agree that ifttt can be used to do what query specifies
NextScripts: Social Networks Auto-Poster
not sure if it does past post
i viewed both the links. request you to tell whether a simpler app is available? any alternatives you may post in addition to which you have posted
Facebook Auto Publish
How to Use IFTTT as a Media Autoblogging Tool
Facebook Poster & Scheduler