Preheat your oven to 350°F (175°C) and grease a 9x13-inch baking dish with cooking spray or butter.

In a large mixing bowl, combine the softened cream cheese, sour cream, cooked shredded chicken, and shredded cheddar cheese. Add garlic powder, onion powder, salt, and pepper to taste, and mix until creamy.

Unroll the crescent dough onto a clean surface and separate into triangles. Place 1-2 tablespoons of filling at the wide end of each triangle, roll tightly, and position seam-side down in the baking dish.

In a separate bowl, whisk together the cream of chicken soup and milk until smooth. Pour this sauce evenly over the assembled crescent rolls.

Place the baking dish in the oven and bake for 30-35 minutes, or until the rolls are puffed and golden brown.

Remove from the oven and let it rest for about 5 minutes before serving.