In a Dutch oven over medium heat, cook sausage, crumbling meat, with onion and peppers until meat is no longer pink; drain. Add garlic; cook 1 minute longer. Stir in beef base, cumin and black pepper., Add rice; brown lightly. Pour in water. Bring to a boil. Reduce heat; simmer, covered, until liquid is absorbed and rice is tender, 18-20 minutes. Fluff with a fork. Transfer to a platter; keep warm., Meanwhile, poach eggs by bringing 2-3 in. water to a boil in a large saucepan or skillet with high sides; adjust heat to maintain a gentle simmer. Break cold eggs, one at a time, into a small bowl; holding bowl close to water surface, slip egg into water. Cook, uncovered, until whites are completely set and yolks begin to thicken but are not hard, 3-5 minutes. Using a slotted spoon, lift eggs out of water. Place on rice; sprinkle with cheese. If desired serve with warm tortillas.