Inspect the connection and wiring of the Fuel Pump Driver Module (FPDM) located above the spare tire under the rear of the vehicle. If the connector is corroded, there is water in the module or the module has rusted through. Replace the FPDM and/or connector.
If no visible issues are found at the FPDM or connection, disconnect the FPDM and install two jumper wires in the harness connection to jumper the White (WH) wire to the Pink/Black (PK/BK) wire and jumper the Black (BK) wire to the Brown/White (BR/WH) wire. If the fuel pump then runs when the ignition switch is turned to the run position, check the Light Blue/Orange (LB/OG) wire for a potential open or short to ground in the harness between the Powertrain Control Module (PCM) and the FPDM before condemning the FPDM.
If the fuel pump does not run when the jumpers are installed, verify that power is present to the FPDM connection on the WH wire from the inertia switch and fuel pump relay. Also check the BK wire to verify it is a good ground for the FPDM to operate.
Check for power and ground at the pump connection with the jumpers installed at the FPDM connection. If OK but the pump did not run, replace the fuel pump. Keep in mind that a high amperage draw of the fuel pump could result in damage of the FPDM.
If there is no power on the WH wire at the FPDM, check the circuits and connection of the inertia switch to determine if there is output from the fuel pump relay located in the Central Junction Box (CJB). Replace the fuel pump relay as needed.