Wipe the cabinet clean with a damp cloth and allow to air dry.
Dab a soft cloth into a small amount of cordovan-colored shoe polish. (Dark reddish shoe polish also works.)
Fill the scratch with shoe polish. Lightly rub over the scratch in a circular motion to work the shoe polish in and blend it into the wood surface.
Allow the polish to dry and repeat as needed on additional scratches or over the same scratch to further minimize its visibility.
Clean off the cabinet surface with a clean damp cloth. Wait for the cabinet to dry.
Dip one tip of the cotton swab in the darkened iodine. Allow the excess to drip off.
Run the cotton swab through the scratch lightly to fill the scratch with iodine. Allow the iodine to dry and repeat a few times to fill the scratch.