Prepare the Beans: Heat olive oil in a saucepan over medium heat. Add onion and bell pepper, cooking for 5 minutes until soft. Stir in garlic and cook for 1 more minute. Add black beans, chili powder, oregano, and cumin. Stir to combine. Bring to a simmer, reduce heat, and cook for 5 minutes. Remove from heat, then stir in cilantro and lime juice. Season with salt and pepper.

Scramble the Eggs: In a skillet, scramble the eggs until soft and fluffy. Remove from heat.

Warm the Tortillas: Heat tortillas in a dry skillet for 30 seconds per side until warm and flexible.

Assemble the Burritos: Place tortillas flat on a serving dish. Layer scrambled eggs, cheese, avocado, and seasoned black beans down the center. Add salsa if using.

Roll and Serve: Fold the sides inward, roll tightly, and place seam-side down. Serve warm and enjoy.