How facebook community pages share their content on others wall?

[Mental]

I have a page with image gallery, each page has he's own unique facebook comment box, like button. If somebody likes the page (the facebook community page that I created and it's placed in the header of the page, something "global", if you know what I mean), in the future if I make some new posts I must log in to my facebook community page and share it? It's something like I must create 2 posts, one on my page, and one on the facebook community page to share the content?

[abcd]

yes

[Aristides]

add me to fb https://www.facebook.com/gonzalesvigil