AFTER PUSHBACK FROM THE GATE AND PRIOR TO ENG START; THE CREW DISCOVERED THE ACFT HAD INSUFFICIENT FUEL FOR THE FLT.

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OCCURRENCE TOOK PLACE DURING PUSHBACK FROM GATE AT ZZZ. COMPANY INSTITUTED NEW PROC FOR PUSHBACKS. DUE TO SEVERAL INSTANCES OF A GEAR PIN BEING LEFT IN NOSEWHEEL AFTER PUSHING BACK FROM GATE; COMPANY REQUIRED THAT GND PERSONNEL ONLY USE GEAR PIN THAT BELONGS TO SET THAT IS STOWED ON ACFT. GND CREW NO LONGER USES THEIR OWN SET OF GEAR PINS. THIS IS RELEVANT BECAUSE THE FIRST ITEM ON OUR BEFORE START CHKLIST REQUIRES US TO VERIFY GEAR PINS STOWED. IN PAST; WE COULD DO BEFORE START CHKLIST DURING PUSH BECAUSE WE COULD VERIFY OUR GEAR PINS STOWED SINCE WE PUSHED WITH GND PERSONNEL PINS; NOT ACFT PINS. THIS IS RELEVANT BECAUSE SUBSEQUENT BEFORE START CHK ITEMS REQUIRE US TO CHK FUEL. ON DAY OF FEB/FRI/02 AT ZZZ; SINCE WE DID NOT START BEFORE START CHKLIST UNTIL AFTER THE PUSH; WE DID NOT NOTICE THAT WE HAD NOT BEEN FUELED UNTIL THE TUG WAS DISCONNECTED. THEREFORE; WE HAD TO RETURN TO THE GATE TO BE FUELED. ALTHOUGH FUELING AN ACFT DURING A TURN IS SIGNIFICANT ENOUGH THAT ONE USUALLY DOES NOT NEED A CHKLIST TO THINK ABOUT IT. CERTAINLY DURING THE BUSY TIME OF PREPARING A COCKPIT FOR A TURN IT IS POSSIBLE TO BE OVERLOOKED; ESPECIALLY SINCE THE NEW PROCS WHICH WERE IMPLEMENTED ON FEB/FRI/02 TOOK THE FUEL CHK OUT OF THE ORDER THAT WE NORMALLY LOOKED AT IT FOR THE PAST 1 1/2 YRS. WE NEVER TAXIED AWAY FROM GATE; HOWEVER; WE DID COMPLETE A PUSHBACK WITH INSUFFICIENT FUEL FOR THE FLT.