How to identify Apple Music tracks?
There’s no way on iOS other than turning off the Apple Music and seeing what tracks remain. (doing that, You should retain all settings and be able to re-enable it as soon as you have your answer.)

You can easily see this on iOS and in iTunes, though with one smart playlist. That playlist syncs to iOS so you could go that route, too:



Match iCloud Status is Apple Music and you're done on the Mac. Then you will see your Apple Music Playlist on iOS under your Library - below the Apple Music curated playlists, under the genius playlists where the Smart Playlists are indicated with a multi colored gear.