Fiebing's Leather Dye (4 Fl Oz, Green) - Alcohol-Based, Penetrating, Permanent Dye for Shoes, Boots, Belts, Bags, Furniture - Includes Wool Dauber Applicator - Recolor & Restore Leathercraft

I've experimented using fiebings leather dye on wood before and it worked quite well. It's pretty concentrated so you may want to dilute and test on some scrap to get the shade you want. Also probably necessary to use a sealing top coat like polyurethane or a polymerizing oil to keep it from rubbing off or reacting to moisture. https://www.walmart.com/ip/103814674?sid=109c0876-23fe-43ae-9d30-9966bfb5cd45