Scratched in oak kitchen cabinets

Burn-in lacquer sticks. If you can't go that way, they sell colored wax crayons at the home centers. Pick a close match (buy a selection and return what you don't use) and rub it in. Scrape off the excess with a credit card (then send the card to me - you won't want it anyway as it'll be a little dirty). They also sell felt tip finish pens that have stain and a polyurethane(?) finish in them. You can top coat with one of them.

If there are other doors the same size you may want to swap the damaged one with another in a less conspicuous location.