Step 1

Bring a large pot of lightly salted water to a boil. Add carrots and cook uncovered until tender yet firm to the bite, about 2 minutes. Drain in a colander and immediately immerse in ice water for several minutes to stop the cooking process. Drain. Repeat with celery, cabbage, chopped onion, and snow peas, cooking separately.

Step 2

Heat olive oil and sesame oil in a stockpot over medium heat; cook and stir mushrooms, garlic, ginger, salt, and pepper until fragrant, 2 to 3 minutes. Add chicken broth and noodles; bring to a boil and cook for 3 minutes.

Step 3

Mix carrots, celery, cabbage, onion, snow peas, and water chestnuts into broth mixture; stir in yakisoba sauce, soy sauce, lemon juice, sambal sauce, and balsamic vinegar. Simmer soup until flavors have combined, 5 to 10 minutes.

Step 4

Ladle soup into bowls and top with sliced onions and bean sprouts.