A connecting structure is structured to connect a vehicle bumper reinforcement to another portion of a vehicle. The connecting structure includes a first portion having a first part structured for connection to the bumper reinforcement and a second part structured for connection to the other portion of the vehicle. A second portion is coupled to the first portion, the second portion also having a first part structured for connection to the bumper reinforcement, and a second part structured for connection to the other portion of the vehicle. At least one fold is positioned along an edge of the second portion. Through connections between the connecting structure and the bumper reinforcement, collision energy acting on the bumper reinforcement is transmitted to the at least one fold, which then acts to absorb the collision energy acting on the bumper reinforcement.