In a medium bowl, prepare the Caesar dressing by combining the mayo, garlic, anchovy paste, Parmesan cheese, lemon juice, Dijon mustard, Worcestershire sauce, salt, and black pepper. Whisk thoroughly until smooth, then refrigerate while preparing the wraps.
Cook the bacon until crispy and warm the buffalo chicken tenders according to package directions or your preferred method. Allow them to cool slightly before chopping.
On a large cutting board, add the lettuce, bacon, buffalo chicken tenders, provolone cheese, croutons, and sliced tomato. Using a sharp knife, chop everything together until the mixture is evenly combined and finely chopped.
Transfer the chopped mixture to a large bowl and add the Caesar dressing along with Parmesan cheese shavings. Toss thoroughly so every bite is coated in the creamy dressing while still keeping plenty of texture.
Taste the mixture and adjust the dressing if needed by adding more Caesar dressing or Parmesan cheese. The filling should be creamy, crunchy, and packed with buffalo flavor.
Spoon the chopped filling into large flour tortillas and wrap tightly, folding in the sides as you roll. Slice in half and serve immediately while the chicken is still warm and crispy.