I used MT-Twitter before. It is good. When I make a new post and click publish, a new twitter post will be made automatically to announce there is a new post with the link and title.
After upgrade to MovableType 5, I have not do it again. Now I try it and see how it works. I will update this post when I get the answer.
The test result is that it is not working on MT 5.
Just install PostTwiOAuth which is from Japan.
See how it works and I will write the howto in English.