Apple TV 4k

Try restarting the Apple TV. Unplug it for 10 seconds from power then plug it back in and see if the features now work.

Also check your TV settings, and make sure it is not set to limit input resolutions in any way. It's possible some setting on the TV may be preventing the 60Hz option.

What do you mean by "does not recognize this". What are you expecting to see?

The Apple TV won't tell you there's any particular cable connected to it.

If correct cables are used and the connected TV supports certain features that need those cables, then they will be enabled. Things like Dolby Vision, or HDR10+ etc...

Also, provide the model number under Settings->General->About->Model

Does your TV support that?

What TV make and model do you have exactly?