Chosen Solution
After taking apart my PS4 to change the thermal paste and clean the fan, my disc drive accepts the discs like normal and you can hear it spinning them, but the game tile never shows up on the PS4 home screen. It seems like the disc drive isn’t actually reading the discs.
Could try this https://support.us.playstation.com/artic… Happened once to me, but it was the game server, that seemed to be the issue…
It’s quite likely that you may have torn or damaged the large ribbon cable going from the motherboard to the disc drive (I’m assuming that the disc drive worked before you took it apart). If this ribbon cable is crooked at all or not quite in the connector all the way it can cause this type of problem. I’ve seen many times where the little ears on each side of them get torn off and then won’t lock in place like they should. I hope this helps.