Conditions for Setting the DTC
WARNING: This page is about a different car, the 2019 Chevrolet Malibu. However, it is still accessible from the selected car via links, so may be relevant.
P0405
The EGR valve position sensor output signal circuit is open or shorted to voltage, or the low reference circuit is open.
P0406
The EGR valve position sensor output signal circuit is shorted to ground.