Cook the Noodles
Bring a large pot of salted water to a boil. Add the egg noodles and cook according to package instructions until al dente. Drain and set aside.
Brown the Beef
In a large skillet over medium-high heat, cook the ground beef until browned and fully cooked, about 5-7 minutes. Drain excess grease and set aside.
Make the Roux
In the same skillet, melt butter over medium heat. Stir in the flour and cook for about 2 minutes, stirring constantly, until lightly golden.
Create the Sauce
Slowly whisk in the beef broth and milk, ensuring there are no lumps. Add garlic powder, onion powder, black pepper, and salt. Bring to a simmer, stirring frequently, until the sauce thickens (about 3-5 minutes).
Combine Everything
Add the cooked ground beef back into the sauce and mix well. Let simmer for another 2 minutes.
Finish with Sour Cream
Remove from heat and stir in the sour cream until smooth and well combined.
Toss & Serve
Add the cooked egg noodles to the skillet and toss until evenly coated in the creamy beef sauce. Serve hot and enjoy!