CL600 PLT INADVERTENTLY SHUT AN ENG DOWN ON LNDG ROLL.

Narrative

OUR ACFT HAD THE R THRUST REVERSER DEFERRED PER OUR MEL PROCS AS INOP FOR THE FLT. WE WERE GIVEN A VISUAL APCH INTO IAH ON RWY 26L. I HAD BRIEFED THE APCH FOR RWY 26L AND ADVISED MY FO THAT WE WOULD ONLY USE THE L THRUST REVERSER DURING LNDG SINCE THE R REVERSER WAS DEFERRED. WE MADE A NORMAL LNDG ON RWY 26L IN IAH. DURING THE ROLLOUT; I MISTAKENLY PULLED UP ON THE L FUEL SHUTOFF LOCK AND PUT THE L THRUST LEVER INTO THE FUEL SHUTOFF POS INSTEAD OF UNLOCKING THE L THRUST REVERSER AND SPOOLING UP THE ENG TO AID IN STOPPING THE ACFT LIKE I SHOULD HAVE DONE. THIS WAS COMPLETELY ACCIDENTAL SINCE I HAD EVERY INTENTION OF GRABBING THE CORRECT LEVER DURING THE APCH. THE ENG SHUT OFF DURING THE ROLLOUT; AND I USED NORMAL BRAKING TO STOP AND CLR THE RWY. WE DID NOT ATTEMPT TO RELIGHT THE ENG DURING THE ROLLOUT AND CONTINUED TO THE GATE ON THE R ENG. WE HAD MAINT COME OUT TO THE ACFT AT THE GATE TO DRY MOTOR AND DO AN ENG RUN ON THE ACFT. IN THE FUTURE; I WILL MAKE SURE OF THE CORRECT LEVER BEFORE MOVING IT.