While we'd like to be a little more optimistic, experience has shown that repairs to these man-made marble counters are neither attractive nor do they hold up for a reasonable amount of time. Be cause the gel-coat (the hard clear finish that protects the resin core) has been damaged, any repair will not have that same smooth-and- shiny appearance.
If, after reading this, you still feel that a repair attempt is in order, then the first step is a quick trip to the local hardware store to pick up some clear two-part epoxy or some clear resin patch. Be extremely careful when using either of these products. -- Proper ventilation along with good eye and skin protection is a must. Apply a small amount of the product to the damaged areas, making certain not to overwhelm the area. Start with just a little and add more as necessary to completely fill the pit. The product is self-leveling and will only need time to dry before you can perform the final step to this repair. Once dry, lightly sand the area with 400 or 600-grit wet sandpaper. Or you can use a little rubbing or polishing compound to achieve the same effect. Give the entire top a good waxing with an auto polish or paste wax. If you're not completely satisfied with the net result, just keep reminding yourself of the alternative.