I'd contact the manufacturer. Or perhaps a flooring store that sells the same product. I personally don't trust cleaning with vinegar because it's a mild acid, not necessarily anti-bacterial and causes minor pits and hazing on surfaces.

The most important thing to remember when cleaning Corian, is to wipe the surface dry after cleaning. If you leave it to air dry, a film can build up on the surface. This film will end up leaving the counter looking dull or blotchy. Clean with water, soapy water, or solid-surface cleaners specially designed for Corian surfaces. Never use window cleaners, as they will leave a film that will eventually dull the surface.

Thanks all. I'm aware that you're not supposed to leave water to dry on Corian, though with a really large counter like mine it's pretty hard to live every day without a spot of water getting left on the counter, lol.

Thanks again for the input! :)

I don't know about Avonite but I don't use anything special to clean my Corian counters. Usually just soapy water or an all purpose cleaner like 409. That's one of the things I like about this counter - no special treatment and it always looks great. My counter has a matte finish so I wouldn't know about trying to get a sheen to it.