WARNING: This page is about a different car, the 2004 Chevrolet Corvette. However, it is still accessible from the selected car via links, so may be relevant.
Fig 1: LR Floor Compartment, ESC Module, ESC Module Connectors
Courtesy of GENERAL MOTORS CORP.
Connect the ESC module connectors (3).
Install the ESC module (1) into the mounting bracket.