Wash nicely both broccoli and mushrooms, get rid of all the dirt from mushrooms..
Cut broccoli into small florets and cut mushroom into half or as preferred. You can cut the stems if you want.
Mix all the sauces together. You can skip tomato ketchup if you don't like in Chinese style food. For me it adds a sweet and tangy taste to the dish.
In a wok or in a non-stick pan, add oil and when the oil is hot enough, add garlic saute for a minute, add mushrooms and broccoli and stir-fry on high. Keep stirring the veggies so that it doesn't burn.
Stir-fry for 1-2 minutes, keep the texture as you like. Mushrooms should not leave water.
Add sauces and mix well. Fry again for a minute and serve as you like it.