Chop the carrots and cabbage: Transfer the roughly carrots and cabbage to the canister of a food processor. Pulse until chopped finely but not mushy.
Cook the chopped cabbage and carrots: Heat a drizzle of oil in a large skillet over medium-high heat. Add the veggies and cook for about 3 minutes, or until just softened.
Cook the tofu: Use the largest holes on a box grater and grate the tofu directly into the skillet or a large bowl. Cook the tofu with the veggies for about 4 minutes more, or until golden brown.
Prepare the sauce: Mix the soy sauce, rice vinegar, ginger, garlic, maple syrup, sriracha, and sesame oil. Pour about two-thirds of the sauce over the cooked tofu and veggies. Add water (¼ cup at a time as needed for the desired taste and texture) and cook for about 3 minutes more, or until mostly dry.
Prepare rice paper: Wet a rice paper wrapper in warm water for 10 seconds (or according to packet directions). Lay flat on a nonstick surface or large cutting board.
Add filling and wrap: Place 4 tablespoons of the tofu filling in a rectangle in the center of the wrapper. Fold the top of the wrapper downward, snugly covering the filling. Fold in the opposite side to overlap the first. Repeat for the remaining sides, forming a small rectangle.
Wrap twice for cooking: Wrap the first rectangle inside a second rice paper wrapper using the method above. (The filling should now be wrapped inside of two rice papers.) Repeat for the remaining filling.
Bake or Air Fry (optional): Brush each dumpling lightly with oil. Sprinkle with sesame seeds (if using) and either bake or air-fry at 400ºF until lightly golden brown. Pan-Fry (optional): Heat enough oil to cover the base of a nonstick pan. Once the oil is hot, cook the dumplings for about 3 minutes on each side, or until golden brown. For serving: Add water to the remaining dipping sauce, one tablespoon at a time, until the desired taste. Serve the dumplings with the sauce or a different dipping sauce of your choice.