Let's for a example; forums presentation, when they accept the forums. How do they move the post only?

well if it's a single post, then you just use your move tool in your moderation tools, If they are post that are in a thread, then you fist have to split them and move to a new destination/forum.
Then if you want to add them in a existing post or thread, you would have to split then merge them to the thread/forum you wish.But it';s all in your mod tools.

You can read more here.
https://help.forumotion.com/t10773-guide-to-mod-tools

Thanks you, for the big help. It worked.