In a mixing bowl, combine the chopped chicken breasts, olive oil, reduced sodium soy sauce, water, brown sugar, lime juice, fish sauce, Sriracha (if using), garlic powder, dried basil, ground ginger, salt, and pepper. Toss until the chicken is well coated. Marinate for at least 15 minutes.
Heat a skillet over medium-high heat. Add the marinated chicken mixture and sauté for 7-10 minutes, stirring occasionally, until cooked through and browned. Remove from heat and set aside.
In a separate mixing bowl, whisk together peanut butter, lime juice, and honey until smooth and creamy. Add a splash of water if needed to reach desired consistency.
Preheat oven to 400°F (200°C). On a baking sheet, lay out naan flatbreads. Spread peanut sauce over each flatbread, then top with cooked chicken and shredded mozzarella cheese evenly.
Bake flatbreads in the oven for 10-12 minutes or until cheese is bubbly and golden brown.
Remove from oven. Sprinkle with thinly sliced red onion, white bean sprouts, matchstick carrots, and drizzle with a mixture of coconut yogurt, mayonnaise, and lime juice. Garnish with chopped cilantro and chopped peanuts.