Food Processor with grater attachment, Medium Nonstick skillet, rubber spatula for flipping burgers.
In a large bowl, mix carrots, scallions, curry powder, flour, yogurt, egg, 1/2 teaspoon salt and 1/8 teaspoon ground black pepper until well combined. Use a 1/2 cup measuring cup and make 4 patties, pressing gently to make uniform, then turn out onto a plate.
In a medium bowl, mix to combine shredded cabbage, 2 tablespoons olive oil, lemon juice and season to taste with salt and pepper. Set aside.
Heat 2 tablespoons olive oil in a nonstick skillet over medium heat. Cook carrot burgers until golden and cooked through, about 3-4 minutes per side. Transfer to a towel-lined plate.
To assemble burgers, top buns with carrot burger, slices roasted red peppers, avocado and red cabbage slaw.