Preheat oven to 375° F. Butter a 9 x 13 casserole dish and set aside.
Combine cornbread and white bread in large bowl and set aside.
Heat butter in a large skillet over medium-high heat. Add onion, celery and bell pepper and saute until veggies soften, about 6-7 minutes. Add garlic and cook until fragrant, about another minute.
Transfer veggie mixture to bowl with bread mixture. Add broth, salt, pepper, garlic powder, onion powder, smoked paprika, poultry seasoning, sage, thyme and cayenne pepper. Give everything a good stir to fully combine all ingredients. Taste mixture and add more seasonings to taste. Make sure you are happy with the flavor before adding eggs.
Add eggs and give everything another good stir. Transfer dressing to prepared baking dish and bake for 50-60 minutes, until center is set and top is golden brown.