Mog was one of many large beasts that once roamed the vast desert of Phleebhut. However, they all eventually died of boredom and are now extinct. Being the shrewd salesbeing that he is, Fester Blatz did however notoriously fashion the Mog Memorial, a large, mechanical version of a Mog in order to make his cheezy tourist trap of a store, the World O' Wonders stand out more to all unsuspecting visitors looking to make the most of their vacation buckazoid.
Curiously, fashoning a huge mechanical statue in order to hawk cheap junk to the tourists must easily have cost more than Blatz could ever hope to regain during his entire career. Some people - er, lifeforms - sure have a weird take on economic viability.