Preheat oven to 400°F (200°C) and line a baking sheet with parchment paper.
In a large bowl, combine chickpeas, cauliflower florets, olive oil, chili powder, cumin, smoked paprika, and salt; toss to coat evenly.
Spread the mixture in a single layer on the prepared baking sheet and roast for 20 to 25 minutes, shaking the pan halfway through.
Remove from oven and immediately drizzle with lime juice.
Prepare the sauce by mixing the Greek yogurt and hot sauce in a small container until smooth.
Warm the tortillas in a dry skillet over medium heat for 30 seconds per side until pliable.
Distribute the roasted vegetable mixture evenly among the tortillas.
Top with shredded cabbage, cilantro, and the yogurt sauce before folding tightly into wraps.