Preheat oven to 450˚F and line 2 baking trays with parchment paper.
Put beans, onion, mushrooms, quinoa and squash in a large mixing bowl. Using a spatula and a bit of elbow grease, stir until combined. Add remaining ingredients and continue to stir until fully combined.
Form into 8 patties and place on the baking trays. Bake on each side for 15 minutes. Let cool for a few minutes before devouring.