First, cook the ¼ cup dried quinoa according to package instructions and make the flax egg. While the quinoa is cooking, add the black beans to a bowl and mash until completely smooth. It's okay to leave a few black beans whole, but most should be mashed into a thick paste.
Once the black beans are mashed, add in the rest of the ingredients including the the quinoa, carrots, ¼ cup of the almond flour, tomato paste, and spices. Mix together until the burger mixture is cohesive. The burger mixture should be moist but not too sticky or too dry. If too wet, add in up to ½ cup almond flour and if too dry add in 1 tablespoon of almond milk or water. The burger patties will be semi sticky and should not be dry.
Preheat the oven to 350F and line a baking sheet with parchment paper.
Next, scoop out a ½ cup of the mixture, roll it into a ball, then pat into a patty that is 1-inch in height. Add the patties to the baking sheet lined with parchment paper and bake for 20-22 minutes. Don't overcook the patties or they will be get dried out.
Remove the patties from the oven and add to a burger with your favorite toppings. Enjoy!