I don't own any man made marble but have seen the disgusting burn marks left when some one leaves a lighted cigarette that continues to burn and leaves an ugly scar. What I think I'd do would be to buy some very fine sandpaper and try to sand away the burned part. I know there would be a little "dip" in the surface but it would still look better. You might do a search on "repairing manufactured marble". Good Luck!