Add the remaining beans, shallot, garlic, spices, lime zest, juice and hot sauce into the bowl of a food process fit with a steel blade. Process until the mixture is the texture of a very chunky puree. Transfer this mixture to a mixing bowl.
Add the remaining beans, cooked quinoa and egg white and stir together to form your ‘dough’.
Shape the mixture into 6 patties and chill in the fridge for at least 1/2 an hour, more if you have time.
Heat a skillet over medium heat and add the patties to the pan. You may have to do this in batches depending on the size of your pan. Cook them until browned, about 3 - 5 minutes per side.