How to Make It
Arrange the green and red cabbage wedges in 2 separate large skillets. Divide the olive oil, garlic and cumin between the skillets. Add 1 teaspoon of salt and 1/3 cup of water to each skillet and bring to a boil. Flip the cabbage wedges, cover and cook over moderately high heat until tender, about 8 minutes. Remove from the heat and let steam, covered, for 10 minutes. Transfer the cabbage wedges to a plate, keeping them intact.
Light a grill or preheat a grill pan. Grill the cabbage wedges over high heat, turning once, until lightly charred all over, about 2 minutes. Transfer to the plate.
Brush the cut sides of the buns with olive oil and grill over high heat until lightly golden, about 1 minute. Transfer to a work surface
Scoop the avocado into a small bowl. Add a generous pinch of salt and mash with a fork. Spread the avocado on the cut sides of the buns. Top with the cabbage wedges, mozzarella and cilantro and serve with hot sauce.