Hi Jimlemm,
Thanks for reaching out using Apple Support Communities. We're here to help.
It sounds like the Music app on your iPhone is not updating with changes when they are made via the Music app on your Mac. Is that correct? If so, you'll need to ensure Sync Library with Apple Music is enabled on your iPhone.
The article below will assist you with this.
Use Sync Library to access your music library across your devices - Apple Support
To perform the recommended troubleshooting steps via the link above, complete the steps in the section titled "How to turn on Sync Library on your iPhone or iPad."
1. Make sure that your iPhone or iPad is signed in with the same Apple ID that you use with your Apple Music subscription.
2. Go to Settings.
3. Tap Music.
4. Turn on Sync Library.
5. Turn on Sync Library on your other devices.
After ensuring your Apple Music subscription is active and the sync library is enabled, recheck the playlist for updates. If not updated, check to see if there is a status message indicating that updates are pending.
Another thing to remember is that some music may not be eligible to match and sync with iCloud Music Library. Examples of tracks that this could apply to would-be tracks not purchased from iTunes that were bought with a different Apple ID or are too large. Try adding other types of songs to this playlist to see if the issue only occurs with certain songs.
Please let us know the outcome after giving the above steps a try.
Thanks for using the Apple Support Communities.
Cheers!