New (2021) Apple TV 4K

When you have more than one Apple TV (4th generation or later), then you can sync the home screens by having the iCloud feature One Home Screen active.

Customize the Apple TV Home screen - Apple Support

↳ Keep apps and the Home screen up to date across multiple Apple TVs

When you’re setting up the new Apple TV, bring your iPhone close to it and it’ll ask to transfer the settings. The iPhone has to be logged I got he same Apple account as the appleTV