Hi MUsicBTS,
"Enter song lyrics
- In the Music app
on your Mac, Control-click a song, then choose Get Info. - Click Lyrics, then select Custom Lyrics at the bottom of the window.
- Enter the words to the song, then click OK.
To sync custom lyrics across your devices, you need a subscription to Apple Music or iTunes Match."
With an iTunes Match or Apple Music subscription, you can test the steps above to see if the lyrics will sync. You can also find the information and steps here: View and enter lyrics in Music on Mac
However, on an iOS device "If nothing happens when you tap Lyrics, then either you’re playing a song that's not from the Apple Music catalog, or lyrics aren’t available for that song."
See time-synced lyrics in Apple Music on your iPhone
Best!