First, prep your flax egg by combining the flaxseed meal and water together in a bowl; set aside for at least 10 minutes, allowing mixture to form an egg-like texture.
Combine broccoli, carrots, garlic, oats, soy sauce/Bragg's, garlic powder, and sesame seeds together in a food processor; pulse.
Pour mixture into large bowl and then stir in cooked quinoa and bread crumbs by hand; Last, add in the flax egg.
Once everything is stirred, form mixture into burgers. This recipe should make anywhere from 8-12 burgers depending on how small/large you make them.
Set burgers on a baking sheet and place in refrigerator for at least 20 minutes, allowing time for the burgers to hold shape.
Once burgers are set, heat 1 tbsp olive oil in a large skillet and cook burgers until slightly browned on either side.
Serve on a burger bun with your favorite toppings and enjoy!