Preheat oven to 350 degrees. Line a cookie or baking sheet with parchment paper.
Bring the quinoa and water to a boil in a saucepan. Reduce heat to medium-low, cover and simmer until the quinoa is tender and the water has been absorbed, about 10-15 minutes.
Roughly mash the black beans with a fork leaving some whole black beans. You should have a paste-like mixture now.
Add the cooked quinoa (3/4 cup), bread crumbs, peppers, onion, garlic, cumin, salt, hot pepper sauce, and egg into the black beans. Mix well, using your hands.
Form 5 patties and place on parchment lined baking pan.
Bake for approximately 20 minutes.
Enjoy with your favorite burger condiments!