In a small bowl, combine olive oil, apple cider vinegar, mayonnaise, salt, and pepper. Whisk until smooth.
Cook the bacon strips in a skillet over medium heat until crispy, about 5–7 minutes.
Lay out each low-carb wrap on a clean surface. Spread a generous amount of secret sauce over each wrap. Layer on lettuce, tomato slices, and crispy bacon.
Carefully roll up each wrap tightly from one end to the other. Secure with toothpicks or parchment paper if needed.
Slice each wrap in half diagonally and arrange them on a platter. Serve immediately.