A live stream syndication is a variant on a universal syndication.
These are the key details about syndicating a live stream via the Backlot API.
. . . "name": "My Live Stream", "type": "universal", . . . "asset_types": [ "live_stream", "ad" ], . . .
In your Universal Syndication Template Language (USTL) feed template (see Universal Syndication Template Language), you can include properties specific to live streams.