CH71 INSTRUCTOR AND STUDENT LANDED SHORT OF RWY 35 AT GGG.

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MY STUDENT AND I WERE COMING IN FOR OUR LAST LNDG AFTER SEVERAL TIMES AROUND THE PATTERN. I TOLD HIM TO SHOW ME A SHORT FIELD LNDG. DURING OUR APCH WE CAME IN TOO LOW AND OUR TAILWHEEL TOUCHED THE GND BRIEFLY (IN THE GRASS) PRIOR TO THE RWY. WE ADDED A TOUCH OF PWR AND LANDED ON THE RWY. TWR ASKED IF WE WERE ALRIGHT AS WE TAXIED OFF THE RWY; AND I SAID WE WERE FINE. I FINISHED PAPERWORK WITH MY STUDENT AND THEN WENT TO TELL MY SUPVR. MEANWHILE; ARPT SECURITY OFFICER DROVE OVER TO OUR HANGAR AND ASKED TO SEE MY DRIVER'S LICENSE AND FLT CERTIFICATES. WE WALKED OUT TO THE AIRPLANE. HE WROTE DOWN MY INFO; REQUESTED MY STUDENT'S INFO AND REQUESTED THAT MAINT (OUR MECHS) CHK IT OUT FOR ANY DAMAGE. HE LEFT AFTER THAT AND I WENT IN TO ONE OF OUR MECHS AND MADE HIM AWARE OF THE SIT. HE CHKED IT OUT AND SAID THERE WAS NO DAMAGE; THERE WASN'T EVEN ANY SIGN OF DIRT OR GRASS. ONE OF THE THINGS THE SECURITY OFFICER HAD MENTIONED TO ME WAS THAT HE CHKED OUT THE GRASS PRIOR TO RWY 35; WHERE I TAPPED THE TAILWHEEL; AND RPTED SEEING 43 YARDS OF TRACKS IN THE GRASS. HE SAID THAT COULD HAVE BEEN CONSIDERED AN ACCIDENT. I KNOW THAT WE DID NOT DRAG OUR TAILWHEEL FOR 43 YARDS; AND IF WE HAD EVEN 1/2 THAT DISTANCE; THERE WOULD HAVE BEEN EVIDENCE IN OUR TAILWHEEL. A SECOND PIECE OF INFO CAME TO LIGHT A FEW HRS AFTER THIS HAPPENED. A GENTLEMAN AND A STUDENT WERE IN THIS MAN'S PIPER CUB FLYING AROUND THE PATTERN THE PREVIOUS WKEND. THE PIPER CUB HAD TUNDRA TIRES ON IT; SO THIS GENTLEMAN WANTED TO LAND IN THE GRASS TO PREVENT THE TIRES FROM GETTING WORN DOWN ON THE PAVEMENT. HE INTENTIONALLY LANDED HIS CONVENTIONAL GEAR PIPER CUB SHORT OF THE RWY.