Preheat oven to 350 degrees F. In a large bowl soak the tortillas in the broth for 2 minutes. Remove the tortillas to a plate and set aside. Add the 2 soups, tomatoes and green chiles to the broth. Mix well.
Grease a 13x9x2 inch baking dish. Layer 1/3 of the tortillas, 1/3 of the sauce, and half of the chicken. Repeat twice, ending with tortillas, sauce, and cheese.
Cover with foil and bake at 350 degrees F for 45 minutes. Remove cover and bake an additional 5-10 minutes. I serve this with a dollop of sour cream, and chives as a garnish.