Heat olive oil in a large, deep skillet over medium-high heat. Once hot, add the mushrooms and cook for 5-6 minutes or until softened. Remove to a plate a plate and set aside.
To the skillet, add the ground beef. Cook the meat, breaking up with a wooden spoon, until no longer pink, about 5 minutes. Add the egg noodles, milk, broth, cornstarch, salt, pepper, and paprika. Stir well and cover with a lid; cook 8-10 minutes or until noodles are tender.
Stir in Greek yogurt and heat 1-2 minutes more. Serve hot.