1. Check whether the "Offline Music" switch is turned on: Enter the Apple Music application, click the avatar in the upper right corner, find the "Settings" option, select "Music" in the "Settings" and make sure that the "Offline Music" option is turned on to display the downloaded songs.
2. Confirm whether the song has been added to the song list: If the song has been downloaded offline but still does not appear in the song list, it may be because it has not been added to the song list. Please find the downloaded songs in My Music Library or the search page, then select the songs that need to be added to the song list and add them.
3. Check the time zone setting: If you find that the song list on Apple Music is not updated normally, it may be that the area where your device is located does not match the time zone you set. I suggest you go to "Settings > General > Date and Time", turn off the automatic adjustment option, and manually set the correct time zone and time.
4. Log out and log back in to Apple Music: If the above operation fails, you can try to log out and log back in to your Apple Music account. Specific practice is to enter the "Settings >; Apple ID> Exit ",and then log in again.