Campcop might be talking about 3M Finesse-it II, Finishing Material. Contains on silicone or wax. Comes in quart size. Now, it is pricy, but I use it on clear coats, chrome, and my head light lenses to keep them polished.
I use it only by hand to buff and polish. They mention using a buffing machine on an area 2ft. by 2ft. and I have done that, think I'm just old fashioned. Can see the luster reappear as I work in small areas.
Think that you will find it a vary good surface cleaner. If you can find a body shop or doll-up shop that might us it, and get a little to try on a soft cloth. Use it in an area of the counter that might be along one edge of a wall or behind the stove or sink and see what you think.
Then a coat of wax or good surface sealer / polish to finish the job.
PS remember to keep items off the counter or have a rubber shelf pad under things, they will side off very easy !!!