Toss the thinly sliced flank steak with cornstarch and soy sauce, then let it rest for 10 minutes.
Bring a large pot of salted water to a boil.
Cook the lo mein noodles according to the package directions, then drain and set aside.
Whisk the soy sauce, brown sugar, hoisin, minced garlic, grated ginger, red pepper flakes, and beef broth in a small bowl.
Heat the vegetable oil in a large skillet or wok over medium-high heat.
Spread the beef in a single layer and sear until browned, about 2–3 minutes per side, then remove to a plate.
Add the sesame oil to the same pan, then stir-fry the bell pepper and broccoli until crisp-tender, about 3 minutes.
Return the beef to the pan and pour in the sauce, stirring until everything is coated and the sauce begins to simmer.
Add the cooked noodles and toss until the noodles are coated and heated through.
Turn off the heat, garnish with sliced green onions, and serve hot.