Starting from version 1.10.0 Varys supports connections to Tautulli servers. In order to do that, please go to the server list by clicking on the top right icon on the activity tab. There you can swipe from right to left on any server entry in the list to connect/disconnect your Tautulli server.
Note: In order to change connection details you first need to disconnect your Tautulli server and reconnect it afterwards via QR code scan or manual input.