In a large mixing bowl, combine the shredded chicken, Greek yogurt, mayonnaise, Dijon mustard, apple cider vinegar, garlic powder, onion powder, and a pinch of salt and pepper.
Stir thoroughly until the chicken is completely coated in the creamy dressing.
Gently fold in the crumbled bacon, diced tomato, sliced green onions, and chopped basil into the chicken mixture.
Select a lettuce leaf and place a generous spoonful of the chicken salad mixture in the center.
Carefully fold the sides of the lettuce over the filling to create a wrap.
If needed, secure the wrap with a toothpick for easy handling.
Continue this process with the remaining lettuce leaves and chicken salad mixture until everything is used up.
Serve the lettuce wraps immediately for the freshest taste.