B737-700
Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine; Flight Crew Instrument
Flight Crew Last 90 Days 407; Flight Crew Type 7000
Distraction; Confusion
Deviation / Discrepancy - Procedural Published Material / Policy
General None Reported / Taken
Human Factors
After landing in ZZZ and clearing the runway; I performed my after landing flow and started the APU. When the APU was up and running I placed it online. On the taxi in; and after the appropriate cool down time; the Captain went to shut down the number two engine in accordance with our SET procedure. He inadvertently placed his hand on the number one engine start lever and just barely began to move it toward cut-off when he realized his mistake and brought it back to IDLE. The engine seemed to be stable; so he proceeded to shut down the number two engine as intended. As soon as the number two engine was shut down we noticed number one also shutting down. The Captain instructed me to restart the number one engine; so I moved both pack switches to off; closed the isolation valve and restarted the number one engine; which started normally. We continued safely to the gate and parked without further incident. There was no impact on safety; and we were the only ones aware of the anomaly.
[Report narrative contained no additional information.]
B737 flight crew reported shutting down the wrong engine on taxi. The situation resulted in both engines shutting down during taxi to the gate.