H2H gameplay issues.

Lag has nothing to do with it. If your opponent has a higher OVR your players just move slower, regardless of their individual rankings or abilities.

Your only option is to play differently, understanding that you’re handicapped.

Switch on to your defenders early and try to defend manually. Your defenders will not even attempt to keep up with the opponent if you don’t do it yourself.

And whenever you lose the ball, don’t fight to get it back, just immediately run back and/or switch to a the next defender because your player will intentionally do an animation to run away from the ball in order to give the opponent a better chance to do a counter attack on you.