01 - Heat 1 tablespoon of olive oil in a skillet over medium heat. Add the chopped onion, grated carrot, and diced bell pepper. Sauté for 3 to 4 minutes until softened. Add the minced garlic and cook for 1 additional minute until fragrant. Remove from heat and let cool slightly.
02 - Place the drained and rinsed black beans in a large mixing bowl. Using a fork or potato masher, mash the beans until mostly smooth but leaving some chunks for texture.
03 - Add the sautéed vegetables, rolled oats, breadcrumbs, egg, smoked paprika, ground cumin, salt, black pepper, and chopped parsley to the mashed beans. Mix thoroughly until all ingredients are well combined. If the mixture is too wet, add additional breadcrumbs a tablespoon at a time. If too dry, add a splash of water.
04 - Divide the mixture into 4 equal portions and shape each into a burger patty, pressing firmly to hold together.
05 - Heat the remaining tablespoon of olive oil in a skillet over medium-high heat. Cook the patties for 4 to 5 minutes per side until golden brown and heated through. Alternatively, grill the patties over medium heat on an outdoor grill.
06 - Toast the burger buns if desired. Layer each bun with a cooked patty and your choice of lettuce, tomato slices, pickles, onion, cheese, and condiments. Serve immediately.