Xbox Connect Compatibility: Only for Xbox Series X|S, Not Xbox 360

Xbox Connect does not work with any Xbox 360 console.

Xbox Connect is a feature exclusive to Xbox Series X|S for streaming and remote play. It is not compatible with Xbox 360 or Xbox One.

To use an Xbox 360 controller on newer consoles, you need an Xbox 360 Wireless Controller plus a wireless gaming receiver for Xbox One/Series X|S (or a wired 360 controller via USB).