Bring a large pot of water to a boil. Cook lo mein noodles according to package directions.
Meanwhile, chop veggies and set aside. In a small bowl, whisk together the vegetable stock, soy sauce, honey and sesame oil.
Heat a wok or large skillet over medium-high heat. Add vegetable oil to the hot wok. Add broccoli and carrots and saute for 2 to 3 minutes, until slightly softened. Add garlic, shredded cabbage, cooked lo mein noodles and sauce to the wok. Stir together until combined. Cook another minute to soften the cabbage and thicken the sauce. Serve.