AirPod pro 2 can't add them in Find my app

My New AirPods Pro 2 are connected with my iPod touch and Ventura Mac and the connection and sound is great (although I don't have all the features an iPhone can add to the AirPods).

The problem is that I can't add them in the "find my" app, like my other devices, they are just not in the list of my devices, even in the "find my" app in Mac, and i use this feature because I misplace them a lot.

I have checked the Find my option in the AirPods menu.

Is there a problem because it is a new model and my iPod touch is older model (and the first pair was with the iPod touch), is it a problem in the case, what can I do?

Thanks.

P.S : I believe society advance in technology, when technology becomes more aproachable.