Preheat your oven to 400°F and line a large baking sheet with parchment paper for easy cleanup.
Crumble the tempeh into bite-sized pieces and chop the broccoli and red bell pepper into uniform chunks.
Spread the tempeh, broccoli, and bell pepper onto the baking sheet and season with half of the garlic powder, onion powder, salt, and pepper.
Roast the mixture for 20 minutes, tossing halfway through, until the vegetables are tender and the tempeh is golden brown.
While the vegetables roast, whisk together the nutritional yeast, lemon juice, water, and the remaining spices in a small bowl until a smooth, creamy sauce forms.
In a serving bowl, combine the cooked brown rice and the black beans, warming them briefly if needed.
Add the roasted tempeh and vegetable mixture to the bowl on top of the rice and beans.
Drizzle the cheesy nutritional yeast sauce over the entire bowl and toss gently to ensure every bite is coated before serving.