In a wok or large skillet, heat 1 tablespoon of vegetable oil over medium-high heat.
Cut the pressed tofu into cubes and add them to the hot oil. Cook until golden brown on all sides, about 5-7 minutes. Remove from the pan and set aside.
In the same pan, add more oil if needed, then add minced garlic and grated ginger. Stir-fry for a minute until fragrant.
Add the sliced bell pepper, onion, broccoli, and mushrooms. Stir-fry for 2-3 minutes until they start to soften.
In a small bowl, mix together soy sauce, sriracha sauce, and hoisin sauce.
Pour the sauce over the vegetables and stir to evenly coat them.
Add the tofu back into the pan and mix everything together. Cook for an additional 2-3 minutes.
Season with salt and pepper, if needed.
Garnish with sliced green onions and sesame seeds.
Serve hot over rice or noodles.