Home app won’t recognize Apple TV

On your Apple TV go to:

Settings -> Remote controls and devices -> Remote controls and devices.

Hold your iPhone close to your Apple TV. Then should your Apple TV pop up on your iPhone, press Connect and enter the code that appears on your Apple TV.

After that, find AirPlay and HomeKit in settings. Enter and see if your home is connected at the bottom of the menu.

If your Apple TV does not show up on your iPhone, make sure Bluetooth is turned on and that both devices are on the same WiFi network.

You need to enter the Home Kit menu on your Apple TV and choose which room it is in. It should be one of the rooms you have already created on your iPhone.

But remember, there are only your scenes that can be accessed in the Control Center on you Apple TV - not the individual ones that are in favorites on your iPhone.

I do not think it is possible to manually create it as an accessory. Apple TV is automatically created in the Home app when you add it to the Home Kit inside Apple TV settings. From there, it is also possible to use it as a Hub.