Google added an ability to automatically publish the FeedBurner feed items that meet your criteria to Twitter, using the Google URL shortener at goo.gl. To get started, go to Socialize service on FeedBurner’s Publicize tab and add Twitter account to which you would like to post items from your feed. You can take default settings and click [Save] to start socializing immediately, or use offered options to customize exactly which feed items’re sent to Twitter and how exactly you would like them to look. Next time you post a new item to your feed it’ll be sent to Twitter (as always, make sure to ping FeedBurner whenever you update your feed so this process happens as near real-time as possible). To see results, take a look at Twitter account in which you’re sending your updates.
More info: FeedBurner Help Center