Bring a large pot of lightly salted water to a boil. Add pasta and cook for 8 to 10 minutes or until al dente; drain.
In a blender or with an electric mixer, blend mushroom soup, cream of chicken soup and milk until smooth. Cut sausage in half lengthwise and slice thinly.
In a 9x13 inch dish, layer 1 cup soup mixture, 3 noodles, half the sauerkraut, half the sausage and a third of the cheese. Repeat. Top with remaining 3 noodles and remaining soup mixture. Cover with foil.
Bake in preheated oven 25 minutes, then uncover and bake 15 minutes more. Sprinkle with remaining cheese when still hot.