Apple Music Playlist Order

You can rearrange the order of a playlist:

1. Go to the playlist you want to re-arrange.
2. Tap Edit.
3. Touch and hold down on the grabber button to the right of the track you want to move.
4. Drag the track to it's new position, where ever you want it.
5. Tap Done, top right, to finish.

Ok , in the song view I still get the most recent at the top in “recently added” . As I scroll to the bottom it’s old songs I added when I first got Apple Music

to do it inside the actual playlist itself, I don’t see the function to do that

You can send feedback to Apple to suggest it

Feedback-Music- Apple

https://www.apple.com/feedback/apple-music.html

In the Playlist View - Top right - Sort - you can sort recently added

Mine show the newest at the top on both my iPhone and iPad