Preheat oven to 350°F. Lightly grease a 9x13 baking dish and set aside.
In a medium bowl, combine shredded chicken, shredded cheese, garlic salt, pepper, chopped cilantro, and mix.
Spoon ¼ - ⅓ cup of chicken mixture onto the center of each tortilla and roll up. Place in prepared baking dish.
Make the sauce by melting butter in a medium pot over medium-low heat. Whisk in flour until bubbly.
Add broth and stir until well combined. Add green chilies, garlic salt, chili powder, and cumin.
Add 1 cup cheese and sour cream and mix until smooth.
Pour queso sauce over the tortillas in the baking dish and top with the remaining shredded cheese. Bake for 20 minutes.