Fix your iTunes Match music with iTunes update 12.2.1
According to the company's release notes, 12.2.1 corrects a problem where iTunes Match music is labeled as Apple Music instead of Matched. It also, "Provides a way to correct a library problem affecting former iTunes Match Subscribers." There are also minor bug fixes for Beats 1 radio.
To get the update, launch the App Store on your Mac and click on Updates. You can also get the update within iTunes by selecting iTunes > Check for updates.
Macworld's iTunes Guy, Kirk McElhearn, reports that he applied the update, but he still has songs marked as Apple Music when they should be Matched, and his album artwork is still messed up.
The release notes say that if the update doesn't correct the Matched/Apple Music problem, you may need to remove the songs marked Apple Music and download them from your iTunes Match account.