Preheat oven to 350 degrees.
Heat the oil in a medium skillet over medium heat. Add the onion, garlic, paprika, and carrot and
sauté until onion is tender and fragrant and carrot has softened a little; transfer to a blender or food processor. A
Add next 7 ingredients (chili powder through tomato paste); pulse until almost completely smooth, but still a tad chunky.
Transfer to a large bowl and stir in oats (if the mixture is too thick to work with, add 1 to 2 tablespoons of water, as needed, but keep it thick enough to shape burgers). Form mixture into 6 burgers, pressing them flat to about 1 1/2 inches thick.
Place burgers on a lightly oiled baking pan; bake for 10 minutes, turning halfway through baking time. When nicely brown (firm outside, tender inside), serve on burger buns and enjoy!