There are no new psots what is correct, but the updated (I updated them manually in Wordpress) posts are not updated in TM.

I have to delete that post and let the page rechecked again.
Can you fix that?

Program only fetches new posts.

If you made updates to already fetched posts via browser, the program won't see those updates. That's how it works.

You should do all edits via program regarding to subject / message. That's why you use it in the first place.

So just do all editing from the program. Then it will be fine.