Preheat oven to 400F.
Crumble the tofu into a food processor. Add approximately half of the chickpeas, along with the tomato paste, tamari, smoked paprika, cumin, salt, and garlic. Pulse until everything is combined.
Add the remaining chickpeas, carrot, onion, and cilantro to the food processor. Pulse a few more times until the veggies are incorporated and chopped into small pieces. Don't over-process, you want some texture!
Transfer the mixture to a large bowl. Stir in breadcrumbs & flour until fully incorporated.
Prepare a baking sheet by lining it with a silicone baking mat (or parchment paper). Using your hands, shape the mixture into 6-7 round patties, using about ½ cup of mixture for each. Aim for patties to be about ½ inch thick. Place them evenly on the prepared baking sheet.Optional: Lightly brush or spray both sides of each patty with a bit of olive oil. This crisps them up a bit more and makes removal easier later, but isn't required! Place the patties in the oven and bake for 20 minutes. Remove from oven and flip all patties, then bake for another 15 minutes.
Let the patties cool for a few minutes before serving. Enjoy on burger buns with whatever toppings you like!