Hello John Haley1,
Thanks for clarifying for us.
Earlier, you mentioned that Sync Library is turned on. Is it on for both devices? If not, you will need to turn it on for both.
Also, when did you originally sign up for iTunes Match? The reason we ask is, once you sign up, it can take a bit of time for everything to sync. If this is the case, you will want to give it a little time, so all music is accessible from both devices. You can learn more here: Subscribe to iTunes Match - Apple Support
You will also want to make sure both devices are associated with your Apple ID. You can learn how to do that here: View and remove your devices that are associated with Apple ID purchases - Apple Support
If none of that helps, can you let us know if all songs show on both devices but won’t play on both, or do the songs just not show on both devices?
Kindest regards.