Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Press the tofu for at least 15 minutes to remove excess water, then cut it into 1-inch cubes.
In a bowl, whisk together olive oil, low-sodium soy sauce, garlic powder, onion powder, and black pepper.
Gently toss the tofu cubes in the mixture. Sprinkle in the cornstarch and toss again until the tofu is evenly coated.
Spread the tofu cubes out on the baking sheet in a single layer.
On a separate section of the same baking sheet, arrange the broccoli florets. Drizzle lightly with a bit of olive oil and seasoning if desired.
Bake in the preheated oven for 25-30 minutes, flipping the tofu halfway through, until the tofu is golden and crispy and the broccoli is tender with a slight char.
Once baked, remove from the oven, garnish the tofu with sesame seeds, and serve immediately.