Preheat the oven to 375°F. Grease a 9x13-inch baking dish with cooking spray.
In a small bowl, mix together the shredded cheeses.
In a large bowl, mix the shredded chicken, softened cream cheese, 1 cup of the cheese mix, sour cream, diced green chiles, ground cumin, garlic powder, salt, and pepper until well combined.
Microwave the tortillas for about 30 seconds to make them easier to roll.
Spoon a large spoonful of the chicken mixture down the center of each tortilla. Roughly 1/3 cup.
Roll up the tortillas tightly and place seam side down in the prepared baking dish.
Pour the enchilada sauce evenly over the rolled tortillas, and sprinkle the remaining cheese on top.
Bake for 20-25 minutes, or until the sauce is bubbly and the cheese is melted. Make sure the enchiladas are hot all the way through.
Remove from the oven and let the enchiladas cool for 5 minutes before serving.
Garnish with chopped cilantro, diced tomatoes, sliced green onions, and sliced avocados. Serve with additional sour cream on the side, if desired.