A320 pilot reported receiving fault messages for both thrust reversers after deployment on landing. During taxi in; steering and all electrical power was lost except the battery which also failed as the aircraft was being towed to the gate.

Narrative

Upon landing in ZZZ; I the flying pilot selected idle reverse. We got a green Rev on engine 1 and a yellow Rev on engine 2. After taxing off the runway I went back into idle and received an engine 2 reverser fault and engine 2 Reverser Unlocked ECAM message. We asked to taxi somewhere to run some checklists. The ECAM called to shutdown Engine 2 which we followed. After all checklists were complete we started to taxi to the gate. Shortly after I started to taxi I lost steering and all screens went black. I stopped the aircraft on the taxiway. It appeared we lost generator 1. Our APU was on MEL; Engine 2 was now inop and was left with battery power. I could hear engine 1 running but it seemed to be higher than idle based on sound but nothing could be confirmed with no engine indications. I decided to shut down engine 1 as a precautionary shutdown not knowing its current conditions or any parameters on the engine. We contacted ATC and advised we will need to be towed in. We contacted Ops to coordinate the tow in. We arrived just short of the gate with battery power when I turned the batteries off as they died. APU; engine 2 reverser; gen 1 fault had previous write ups. Maintenance write ups were done.