U-Syndication

[sod]

You can already do it the manual way, and you might want to express your wish for automation in this thread:

Crosspost Twitter -> Brid.gy Syndication backfeed?

This does seem like something that could be automated, although we would probably need to expose the tweet ID somewhere via the API. If there’s enough interest, we could also consider a preference to handle this automatically. (Or alternatively, a preference to always include the URL in the tweet, which Bridgy could then notice.)