If the scratch is very light however i would try first with the polishing compound alone see how that comes out before any water sanding. I have repaired real carbon fiber motorcycle gas tank protectors with light scratches by lightly wet sanding with 1000 grit paper to get rid of the scratch followed by polishing with a rubbing compound.

Carbon Fibre Care And Repair Rideon
Carbon fibre scratch repair. That scratch is not going to affect the bike in any way but if its making you crazy you can try putting something like epoxy paint nail polish etc on it and then sanding that until it matches the finish on the bike. Repairs are stronger than the pre damaged frame add no measurable weight and dont alter the ride of the bike. Its a myth that carbon cant be repaired. Carbon bike repair is not a myth. Its a really expensive glue sandwich. Some use high quality chip free nail polish clear coat such as cnd speedy clear coat.
Read the gear junkie article. You wash them the same as you would paint you can polish them to remove swirls and increase gloss and you can wax and seal them just the same as well. Carbon fiber can scratch you can sand with some fine grit sand paper well depending on how large the scratch is. With a light cosmetic scratch the panel can be clear coated to hide the scratch. In fact carbon fiber is one of the most repairable materials and each appleman repair is covered by a 10 year warranty. As an example if a corvette has a visible carbon roof that is scratched a repair can be made if the roof will be painted.
Depending on the ferocity of your scratch and the level of your resolve to repair it you have a couple of options for getting that shine back. Carbon fiber is just fiber and epoxy layered together. But if the carbon fibers are torn a repair patch would be visible and not acceptable to the customer. Since it sounds like your fix is cosmetic and not structural you could probably get away with just putting a layer or 2 of that down to cover the scratch. For the most part you can and should care for your carbon fiber components no differently than you do your painted surfaces. First you can take the easy route and simply cover the scratches with a clear coat to protect them.
Iirc its something like 12yd. Composite dimensions 189346 views. How to remove scratches on carbon fiver accessories. With clear coat and some time sounds like maybe a 20 fix. Theres a fabriccraft store near my end of the world that sells legit carbon fiber weave by the yard. Diy carbon fiber repair kit and step by step tutorial duration.