Pat the shrimp dry and toss in a bowl with avocado oil, chili garlic sauce, lime juice, garlic powder, and sea salt.
Place the seasoned shrimp in the air fryer basket and cook at 400°F for 5 to 6 minutes until pink and cooked through, then remove and set aside.
Dip one rice paper sheet in a shallow dish of warm water for 5 seconds until pliable, then lay it flat on a clean cutting board.
Place a portion of the cooked shrimp, shredded carrots, sliced cucumber, and cilantro in the center of the rice paper.
Fold the bottom of the rice paper over the filling, tuck in the sides, and roll tightly forward to seal.
Lightly brush the outside of the rolls with a small amount of avocado oil and place them back in the air fryer at 375°F for 6 to 8 minutes, turning halfway, until the wrapper is bubbly and crisp.
Serve the hot, crunchy wraps immediately with extra lime wedges on the side.