A B737-500 FUEL SHUTOFF VALVE CONNECTOR REPLACEMENT WAS MADE INCORRECTLY WITH VALVE CTL OPEN AND CLOSED FUNCTION SWAPPED.

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PLT WRITE-UP: #2 ENG FUEL SHUTOFF 'VALVE CLOSED' LIGHT REMAINS ILLUMINATED AFTER ENG START. TROUBLESHOT AND FOUND ELECTRICAL CONNECTOR INTERNALLY SHORTED; CONNECTOR WAS LOCATED IN THE R MAIN GEAR WHEEL WELL. IN PROCESS OF REPLACING CONNECTOR; 2 WIRES ASSOCIATED WITH #2 FUEL SHUTOFF VALVE WERE MISWIRED (REVERSED). AFTER COMPLETION OF REPAIR; ALL SYS THAT MAY HAVE BEEN AFFECTED WERE TESTED AND OPERATIONALLY CHKED TO BE GOOD -- INCLUDING THE #2 FUEL SHUTOFF VALVE 'OPEN/CLOSED' INDICATION. ALSO; PHYSICAL OP OF #2 FUEL SHUTOFF VALVE WAS CHKED IN ACCORDANCE WITH THE MAINT MANUAL. A MISTAKE WAS ALSO MADE IN VIEWING THE SHUTOFF VALVE VISUAL 'OPEN/CLOSED' INDICATOR ON THE VALVE ITSELF. IT WAS COMPARED TO THE VALVE ON THE OTHER WING SPAR TO DETERMINE OPEN/CLOSED POS. I DID NOT REALIZE THAT SINCE THE OPPOSING VALVES WERE INSTALLED REVERSED TO EACH OTHER; THE VISUAL INDICATORS SHOULD HAVE BEEN IN OPPOSITE DIRECTIONS WITH THE VALVES CLOSED (OR OPENED). THE #2 FUEL SHUTOFF VALVE WAS IN FACT OPEN WHEN THE COCKPIT INDICATION INDICATED CLOSED; AND CLOSED WHEN INDICATED OPEN. ACTUAL ENG START WAS NOT CALLED FOR OR DEEMED NECESSARY. ON SUBSEQUENT START OF #2 ENG; ENG FLAMED OUT SHORTLY AFTER LIGHT OFF. ACFT WAS REMOVED FROM SVC AND CONNECTOR WAS REWIRED CORRECTLY.