A hernia repair implant includes a first layer for facing a body structure having a hernia defect to cover the defect while promoting tissue growth into the first layer from the body structure. The implant also includes a second layer opposed to the first layer and made of anti-adhesion material to prevent growth of tissue into the second layer from body structures contacting the second layer. Furthermore, the implant includes at least one engagement strap connected to the first layer and extending therefrom to terminate at a free end. The engagement strap defines opposed thin edges and opposed flat surfaces extending between the edges. At least one barb extends from at least one edge and/or at least one flat surface of the strap and is configured to impede motion of the strap in only a single direction.