In a large bowl mash beans well. Add rice and mash more while mixing together. Add bread crumbs, scallions, cilantro, eggs, salt and pepper and cheese if using. Mix to combine. Form into small patties.
Heat a large skillet and add the oil. Place the patties in the hot skillet and cook until browned, about 2 minutes per side. Transfer to a plate lined with paper towels.
Serve with salsa and guacamole.
Serve with salsa and/or guacamole or slices of avocado.