In a mixing bowl, combine the mashed black beans, cooked quinoa, chopped onion, minced garlic, grated carrot, cumin, paprika, salt, black pepper, beaten egg, and bread crumbs. Mix until well combined.

Form the mixture into 4 equal patties.

Heat a skillet over medium heat and add a little oil. Cook the patties for about 5-7 minutes on each side, or until golden brown.

Alternatively, grill the patties on a preheated grill for about 5-7 minutes on each side.

Toast the burger buns on the grill or in the skillet.

Place a patty on each bun and top with lettuce, tomato, avocado, and any additional toppings like cheese, ketchup, or mustard.