Prepare the green onions, cabbage, mushrooms, carrots, and bean sprouts as directed. Set aside, each separately, until needed. They will be added to the soup at different times.
Add white portion of green onions, cabbage, and carrots; simmer for about 5 minutes, skimming the broth if needed. Add mushrooms. Turn heat up to medium-high, bring to a boil, and add noodles; cook to al dente according to package directions.
Reduce heat to medium-low and carefully add shaved steak. To prevent clumping, quickly separate each piece, add to the top of the broth in a single layer to cover surface. Allow to cook several seconds, then push into broth, making room for another layer. Continue till all the steak is used.
Working quickly, stir in bean sprouts and remaining green onion tops (not the 1/4 cup reserved for garnish) to heat through. Add sesame oil to taste. Taste and adjust seasonings, adding additional soy, vinegar, and/or salt to taste. Serve with the reserved green onion for garnish.
Note: The photos show the soup made with 10 cups of broth; however, if you wish a brothier soup, or find upon standing or being saved as leftovers, additional broth may be used or needed.
Find it online: https://frugalhausfrau.com/2025/06/02/asian-beef-noodle-soup/