Start by placing your cooked, shredded chicken into a large mixing bowl. Add in ½ cup of shredded mozzarella cheese. Sprinkle the garlic powder and oregano over the chicken mixture, then mix thoroughly to coat all the meat with flavor. This step infuses the filling with warm, savory notes that pop when baked.
Open the crescent roll packages and separate each triangle. Take about ⅓ cup of the chicken mixture and place it near the wide end of each triangle. Carefully roll them up, making sure the filling stays tucked inside. Repeat the process until all your crescent rolls are filled and rolled.
Arrange all the stuffed crescent rolls in a 9x13 baking dish. Try to keep them evenly spaced to allow the sauce to coat each one well. Once they’re all in, set the dish aside while you make the cheese sauce for topping.
In a saucepan over medium heat, combine the remaining ½ cup of mozzarella cheese, cream of chicken soup, and milk. Stir the mixture gently until the cheese is melted and everything is warm and smooth. Pour this cheesy sauce over the crescent rolls in the baking dish, making sure each one is covered.
Place the baking dish into a preheated oven at 350°F (175°C). Bake for 30–40 minutes until the crescents are golden brown and the sauce is bubbling around the edges. Once cooked, remove from the oven and let sit for a few minutes before serving.