In a small bowl, whisk together the broth, soy sauce, honey, cornstarch, red pepper flakes, garlic, and ginger. Set aside.
In a large wok or skillet set over medium-high heat, heat 1 tablespoon of the oil.
When the oil is hot, add the chicken. Season the chicken liberally with salt and pepper.
Cook the chicken for 3-5 minutes, or until it is cooked through. Transfer the chicken to a plate and set aside.
Add the remaining tablespoon of oil to the pan. Add the broccoli, mushrooms, and red bell pepper. Stir fry for about 3 minutes, or until tender-crisp.
Return the chicken to the pan. Add the stir fry sauce and stir fry for another 1-2 minutes, until the chicken and vegetables are well coated.
Stir in green onions. Serve warm with cooked rice.