The name comes from mućkati, 'to stir or shake together', and it's often said to have begun as a way to use up leftover grilled meat.
Grilled meat scraps are diced and simmered with onions, hot and sweet peppers, and tomato into a thick, fiery mix, then served bubbling in a small clay dish with bread. It's a fixture at Leskovac's grill houses and roadside roštiljnice.