Beat the beef steaks on both sides with a meat mallet, and then cut into thin strips. Fry the beef in a hot skillet in the oil for 5-6 minutes, stirring occasionally. Then transfer to a plate.
Put the mushrooms and chopped onion into the pan. Fry for 5-6 minutes, stirring with a spatula. Lower to low heat for this. Add all-purpose flour to the pan, stir and fry everything together for another 2 minutes.
Pour the broth into the pan and mix thoroughly, breaking up all the lumps of flour. Bring to a boil. Add dairy free sour cream, salt and pepper to the pan. Stir and let simmer for 2 minutes.
Add the fried beef to the pan, mix and cook on low heat for 5-7 minutes. Cover the pan with a lid. If there is not enough liquid, pour in more broth or water. Serve over egg noodles cooked separately.