Prepare the sauce: Combine tomatoes, one piece of onion, and two cloves of garlic in a pot. Cook until tomatoes are soft.
Roast the chilies: Roast pua and morita chilies in a separate pan to avoid burning.
Cook the rice: In a casserole dish, combine rice, the remaining piece of onion, one clove of garlic, a little water, and salt. Cook until rice is well done.
Brown the cheese: Cut the cheese into squares and brown in a pan with oil. Once golden, remove and set aside.
Blend the sauce: Blend the cooked tomatoes, onion, garlic, and roasted chilies with a little bit of salt until smooth.
Cook the chili sauce: Heat oil in a pot, add the blended sauce, and a little water if needed. Let it boil.
Combine cheese with chili: Add the browned cheese to the chili sauce and let it cook briefly.
Serve: Serve the morisqueta (rice) with the chili and cheese sauce and beans on the side.