Zapier has a published zap (I hate that name...) that supposedly does just that: https://zapier.com/zapbook/zaps/39/share-new-blog-posts-to-your-facebook-page/

Zapier has a published zap (I hate that name...) that supposedly does just that: https://zapier.com/zapbook/zaps/39/share-new-blog-posts-to-your-facebook-page/ https://zapier.com/zapbook/zaps/39/share-new-blog-posts-to-y... I offer no personal endorsement, and have no idea whether it would work for you.