REJECTED TKOF AT LGA; NY; WHEN FLAPS WERE NOT EXTENDED FOR TKOF. TRAINING WAS IN PROGRESS.

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I WAS THE PIC SITTING IN THE R SEAT CONDUCTING (OPERATIONAL EXPERIENCE) WITH A TRANSITION CAPT ON HIS FOURTH LEG IN THE L SEAT. WE PUSHED BACK BEHIND SCHEDULE AND; UPON CALLING GND CTL FOR TAXI CLRNC; WERE TOLD TO CONTACT CLRNC FOR A RERTE. TAXI WAS COMMENCED WITH OPERATIONAL EXPERIENCE CAPT MONITORING GND WHILE I COPIES THE RERTE. RERTE WAS VERIFIED AND READ BACK TO CLRNC DELIVERY. AS I BEGAN TO PROGRAM THE FMC; I ENTERED THE FIRST FIX; FOLLOWED BY THE REMAINDER OF THE CLRNC; AND SUBSEQUENTLY RECEIVED AN 'INSUFFICIENT FUEL' FMC MESSAGE. THE FIRST FIX HAD BEEN SPELLED INCORRECTLY AND THE MISTAKE WAS OBVIOUS. THE FMC WAS REPROGRAMMED WITH THE CORRECT FIX; A QUICK ACARS MESSAGE TO DISPATCH WITH THE NEW RTE SENT; AND A CLRNC TO CROSS AN ACTIVE RWY WAS RECEIVED. OPERATIONAL EXPERIENCE CAPT CALLED FOR TAXI CHK AS I INPUTTED THE TKOF PERFORMANCE INTO ACARS. I HAD A TKOF CARD DISPLAYED AND THEN ACARS INDICATED FULL THRUST; REQUIRING THE TKOF CARD TO BE CHANGED AND THE TAXI CHK TO BE INTERRUPTED. WE THOUGHT WE WERE #3 FOR TKOF; BUT TWR PUT US INTO POS AND HOLD. TAXI CHK WAS COMPLETED; FLT ATTENDANTS WERE PA'ED FOR TKOF; AND BEFORE TKOF CHK COMPLETED; AFTER TKOF WARNING WAS RECEIVED. FLAPS HAD NOT BEEN EXTENDED. A LOW SPD ABORT WAS CONDUCTED; THE RWY CLRED; AND A PA MADE TO OUR PAX. THE FLAPS WERE EXTENDED; ALL CHKLISTS COMPLETED; AND WE DEPARTED LGA UNEVENTFULLY. WE LANDED UNEVENTFULLY AT OUR DEST. AS AN OPERATIONAL EXPERIENCE CAPT FOR OVER 2 YRS NOW; THIS ONE GOT BY ME. THERE WAS NO FATIGUE INVOLVED. THE TRANSITION CAPT; WHO WAS SENIOR TO ME; HAD SOME MINOR IDIOSYNCRASIES THAT I WAS TRYING TO CORRECT DIPLOMATICALLY. WHEN THE FLAPS SHOULD HAVE BEEN EXTENDED I WAS PREOCCUPIED; MENTALLY TRYING TO FIGURE OUT HOW TO SOLVE THESE HABITS; AND MISSED THE REQUIREMENT FOR FLAP EXTENSION. I BELIEVE WE COMPLETED THE PROPER CHKLISTS BUT THE VERIFICATION OF THE PHYSICAL POS OF THE FLAP HANDLE ALONG WITH THE FLAP GAUGE INDICATION WAS NOT COMPLETED. I RECOMMENDED TO THE TRANSITION CAPT THAT IN THE FUTURE; HE SHOULD PHYSICALLY 'TAP' THE FLAP HANDLE AND POINT TO THE FLAP GAUGE FOR FLAP EXTENSION VERIFICATION. I; TOO; SHALL INCORPORATE THIS PROC IN AN EFFORT TO PREVENT ANOTHER OCCURRENCE IN THE FUTURE.