Heat a large skillet over medium-high heat. Once skillet is hot, saute chicken, red pepper, carrot, and garlic in olive oil until chicken is no longer pink and vegetables are tender, about 10 minutes. Stir soy sauce, cashews, and salt and pepper to taste into skillet.
Meanwhile in a large bowl, combine lettuce, cabbage, green onion, and orange. Arrange warm chicken mixture on top of salad. Set aside for a moment to make the dressing.
Make the dressing: In a food processor, pulse all dressing ingredients until smooth. Season dressing with salt and pepper to taste.
When ready to serve, drizzle individual servings of salad with dressing and serve. Enjoy!