Add the broccoli florets. Cover and steam cook for 4 minutes. Remove from the pot and rinse with cold water to stop the cooking. Set aside. 3 Place the cooked noodles in a large serving bowl.
Toss with soy sauce to coat completely. Let sit to absorb the soy sauce while you make the dressing.
Place the ginger, sugar, garlic, and red pepper flakes into a mini chopper or food processor. Pulse until finely ground. Add the vinegar and both oils to the ginger mixture. Pulse again until well blended.
Add the dressing to the soy- sauce infused noodles, tossing to coat completely. Then add the cooked broccoli, the sliced green onions, sliced bell pepper, sliced cabbage, shredded carrot, and mung bean sprouts.
If making more than a day ahead, toss the noodles with the soy sauce and half of the dressing and prep the vegetables. Then when ready to serve, toss the noodles with the vegetables and the rest of the dressing.