In a medium bowl, mash avocado with fork. Stir in 1 tablespoon lime juice, mayonnaise, and ¼ teaspoon salt. Continue to mash until smooth.
In a separate bowl, toss cabbage with remaining tablespoon lime juice and ¼ teaspoon salt.
Lay out tortillas on a clean work surface and spread each with a layer of avocado spread leaving a ½” border all the way around.
Top with shredded chicken, cabbage, mango, mint and jalapeño. Fold in one end then roll tightly to create wrap.