Disconnect the PSX-1 and reconnect to the rails. Do your trains run with DCC commands via your paddle/throttle? Then you have the PSX-1 set incorrectly, wired incorrectly, it's defective, or its actually working and something else is amiss. The PSX series make no sounds; they operate silently. They either work when needed, as designed, and unnoticed, or something is wrong.
The PSX-AR, as Don says above, is an auto-reverser to switch phase when there's a conflict with phase over gaps. They reverse phase for turning wye or reverse loop situations. They, like the PSX-1, are silent runners, but they do need to have a CV set, and maybe reset, that affects how quickly the AR will detect and counteract faults. Too slow and your base unit will detect the fault first and turn off track power until you correct the fault. That is counterproductive since you want the AR to do it first, and to do it seamlessly so that trains don't stall at the gaps. The manual describes how to set the CV. It might seem to be daunting, but it's pretty straightforward, and you continue to modify the entered values for that CV until you get the performance you need from the AR.
If power isn't getting to the rails, that can be ascertained immediately with a meter. If the rails are being powered, but the locomotive on those rails won't respond, you may have a defective AR that won't transmit the signal properly.