My cabinets are slabs veneered in exotic wood. I have only had them for 3 months and I have been trying to be very careful and clean them after each use. I just found several stains on them. Two - I am pretty sure - are from tile install. I cleaned after the tile guy every night but missed these somehow; probably b/c they are very visible only from a certain angle. Another one is an aftermath of baking red velvet cupcakes a few days ago using a store bought mix which had some very red artificial (I think) coloring. I didn't notice that some of it spilled on the edge of the bottom drawer. It is right in the seam between the two edge tapes.

All my attempts to remove them using damp Mr Clean or microfiber cloth have failed. I even tried a blue Scotch-Brite pad. I am afraid to scrub too hard b/c the veneer is fragile.

What can I do to remove the stains?

Also, how do you keep your veneered cabinets or furniture stain-free (if you have them)?

TIA!