In a large skillet, heat 1 tablespoon of canola oil over medium heat. Add the chopped onion and sauté for about 3-4 minutes until translucent. Add the cremini mushrooms and cook for another 5 minutes until browned and tender. Stir in the minced garlic, cumin, and smoked paprika, and cook for an additional minute until fragrant. Remove from heat and let cool slightly.
In a large mixing bowl, add the drained black beans. Using a fork or potato masher, mash the beans until mostly smooth but still textured.
To the mashed black beans, add the sautéed vegetable mixture, lightly toasted whole wheat bread torn into small pieces, and shredded cheddar cheese. Season with salt and freshly ground black pepper to taste. Mix well until combined.
Divide the mixture into four equal portions and shape into burger patties. Add more toasted bread if mixture is too wet.
Brush a skillet or grill pan with canola oil and heat over medium heat. Cook the patties for about 6-7 minutes on each side until golden brown and heated through.
Place cooked patties on toasted English muffins, sandwich pockets, or hamburger buns. Top with salsa and sour cream if desired. Serve and enjoy!