Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Rinse and drain the chickpeas, then pat them completely dry with a clean kitchen towel to ensure they get crispy.
In a large mixing bowl, combine the chickpeas, broccoli florets, and cauliflower florets.
Drizzle with extra virgin olive oil and sprinkle with smoked paprika, garlic powder, nutritional yeast, sea salt, and black pepper.
Toss the vegetables and chickpeas thoroughly until every piece is evenly coated in oil and spices.
Spread the mixture in a single layer on the prepared baking sheet, ensuring they are not overcrowded.
Roast for 25-30 minutes, tossing halfway through, until the vegetables are tender and the chickpeas are golden and slightly crunchy.
While the vegetables roast, whisk together the non-fat Greek yogurt and lemon juice in a small bowl until smooth.
To assemble, spread the lemon-yogurt mixture at the bottom of a wide bowl.
Top the yogurt with the roasted vegetable and chickpea mixture.
Garnish with freshly chopped parsley and serve immediately while warm.