Use vinegar and scrub with a rag.
A good degreaser or TSP would remove sticky residue left by grease! Also, a sponge in warm water with Dawn dishwashing liquid would also work... I hope this helps!
try this: https://www.craftylittlegnome.com/best-way-clean-kitchen-cabinets/
Murphy’s oil soap if there realy bad add 1/4 cup ammonia that will clean them when water gets dirty make new water to clean
TSP or Krud Kutter
OrangeGlo for light cleaning
A paste of baking soda & hydrogen peroxide apply with a scrub brush for medium build up
Kitchen and wood safe degreaser like GP66 or Fuller’s for heavy build up