How to Laser Engrave a Yeti Cup? laser engraver is controlled by CNC programming, with a rotary attachment, it can automatically complete a engraved work on YETI cups, mugs,you can engrave Yeti tumblers using a laser engraving machine. It is possible to engrave tumblers, cups, bottles, mugs, jugs, and other Yeti products.Laser engraving on tumblers like yeti cups provides a permanent, high-quality design that will not fade or peel over time.