Laser edges are nasty hard and will eat up abrasives. Depending on the edge you want and the part size, the best route is to vibratory wet tumble with ceramic media until a sufficient edge break is obtained. Then surface finish to your desire with a belt or random orbit sander with abrasive paper or scotchbrite.
Alternatively, the are abrasive impregnated nylon brushes that do a good job on edge scale. You will still need to surface finish after as they overlap and leave a ring around the part.
I've also had fair luck using an oscillating spindle sander with a small drum to do sheet edges with inside curves.
https://www.amazon.com/Noga-DB1005-Deburring-Double-Blades/dp/B01GGHRATE These work ok, but only on straight or very slightly curved edges. On large parts, I'll use one to get what I can, then come back with a cone stone on a die grinder. Stones leave a burr, so I follow that with a scotchbrite roloc disc on another right angle die grinder.
For really intricate and polished finishing, I'll go to a Cratex rubberized abrasive pointed cone on a die grinder. They are only good for final finishing as a burr will shred one instantly.