I have the macOS Monterey 12.4. I am trying to pair earbuds. The device do not show on the list

Is your iPhone on and nearby? Have you actually put the earbuds in pairing mode per the manufacturers directions so they can actually pair with your MacBook?

These are the two most common reasons people have with pairing. They are already paid to another device which is on and they are not in pairing mode to be able to pair with the MB. Turn your iPhone off. Put the buds in pairing mode and they'll pair with your MB.

Your buds need to support multipoint pairing. Some higher end buds do. But that's a feature which the buds themselves need to support. Most buds however, can be paired to multiple devices, just not play on multiple devices at the same time. If this is the case with your buds, you'll have connect them to whichever device you want to use each time. But you won't have to pair them each time.