Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
In a small bowl, whisk together 1 tablespoon olive oil, cumin, paprika, oregano, 0.5 teaspoon sea salt, black pepper, 1 tablespoon lime juice, and minced garlic to create a paste.
Coat the chicken breast and cauliflower florets thoroughly with the spice paste and arrange them in a single layer on the prepared baking sheet.
Roast for 20 to 25 minutes, or until the chicken reaches an internal temperature of 165°F and the cauliflower is tender and slightly charred.
While the chicken roasts, combine the Greek yogurt, cilantro, jalapeno (seeded for less heat), 1 teaspoon lime juice, 1 teaspoon olive oil, and 0.25 teaspoon sea salt in a blender and process until smooth.
Slice the roasted chicken and serve immediately alongside the cauliflower, drizzled generously with the creamy aji verde sauce.