Looking for a Facebook like button plugin

Hello,

I need a plugin which allows the following functions:
– the ability to add a like and a share button for every page and article
– a synchronization between my WordPress Website and my Facebook page, meaning every time someone likes a shared article on my Facebook page, the new like is incremented and visible on the WordPress site. The other way around: every time someone likes a shared article on the WordPress Website, the new like would be incremented and visible on the Facebook page.

I use the deprecated Facebook for WordPress plugin in order to do that but this plugin has not been updated for years and I am looking for a new plugin which would do the same thing.

Can anyone think of a plugin which would allow both the like button integration AND the synchronization between Facebook/Wordpress site?

Thank you very much in advance.