Preheat the air fryer to 390 degrees F (200 degrees C).
Toss carrot sticks with oil, cumin, coriander, salt, and pepper in a large bowl. Transfer to the air fryer basket and set timer for 5 minutes. Shake the basket and continue cooking until carrots are tender and starting to brown, about 5 minutes more.
Meanwhile, whisk yogurt, tahini, lemon juice, garlic, and cayenne in a small bowl. Season with salt.
Plate carrots and drizzle the sauce on top. Garnish with parsley and aleppo flakes.