Bring water, Rice Mix and 1 tablespoon of the oil to boil in medium saucepan. Reduce heat to low; cover and simmer 25 minutes or until rice is tender. Remove from heat. Let stand 5 minutes
Meanwhile, mash black beans in large bowl until slightly chunky. Add rice mixture; stir until well blended. Add egg and bread crumbs. Mix with hands until well blended. Shape into 8 firm patties. Refrigerate patties for 30 minutes.
Heat 1 tablespoon of the remaining oil in large nonstick skillet on medium heat. Add onions; cook and stir 8 minutes or until caramelized. Add butter and brown sugar; cook and stir 1 minute. Spoon onions into small bowl. Set aside.
Heat 1 tablespoon of the remaining oil in same skillet on medium heat. Add 4 of the patties; cook 4 to 6 minutes per side or until heated through and golden brown. Repeat with remaining patties, adding remaining 1 tablespoon oil to skillet.
To serve, place burgers on bread slices. Top with cheese, caramelized onions, lettuce and tomato slices.