Preheat your oven to 375°F (190°C).
In a large skillet, melt butter over medium heat. Add chopped onions, carrots, and sauté until vegetables are tender.
Add chicken pieces to the skillet and cook until no longer pink.
Stir in peas and chicken broth, and season with salt and pepper.
In a large bowl, whisk together flour, baking powder, and milk to make a smooth batter.
Transfer the chicken and vegetable mixture to a baking dish. Pour the batter over the chicken mixture, spreading evenly.
Bake in the preheated oven for 30-40 minutes until the topping is golden brown and cooked through.
Remove from oven, let it cool for a few minutes before serving.