The Board software has an API that allows members to log into Huskerboard using their Twitter credentials, similar to the current Facebook authentication we have. I think that once you log in through your Twitter account, you will see a "Share on Twitter" button below the field where you enter you post. If I'm understanding it correctly, clicking it will send your post as your tweet.
There is one way to test this, possibly. If any of you have a Facebook account (I don't - I know, shocking), try logging into the board with it. Then, go to the Test forums and create a post and see if there is a "Share on Facebook" button below the area you type your message. If so, click it and see if it shows up on your Facebook page.
If that works, then the Twitter integration should function similarly. If so, I can then create the application to authenticate through Twitter and enable the feature on the board.