Photo albums on iPhone not on Apple tv

What is your model Apple TV box?

Identify your Apple TV model - Apple Support

Find your Apple TV model number - Apple Support

For Apple TV box [A1625 or later], your iCloud Photo library would be accessible from the Photos app on Apple TV.

Apple TV Photos app - Apple Support (+5 more pages).

If the matching Apple ID for iCloud services has been set, and you are still missing photos, then possibly the iPhone is not uploading its photos to iCloud. Set up and use iCloud Photos - Apple Support

Check in a web browser: www.icloud.com/photos

Verify that the matching Apple ID account is used on that outdoor set as well. If multiple accounts are used on that unit, then verify that you are switched to the correct user before trying to access these photos.

Apple TV: Settings﹥Users and Accounts﹥[ᴅᴇғᴀᴜʟᴛ ᴜsᴇʀ] [You]﹥[ᴀᴘᴘʟᴇ ɪᴅ] iCloud: [your Apple ID email]

Apple TV: Settings﹥Users and Accounts﹥[ᴅᴇғᴀᴜʟᴛ ᴜsᴇʀ] [You]﹥[ɪᴄʟᴏᴜᴅ] Photos: On/Library