A VERY LOW TIME DA20 CFI; MONITORING HIS STUDENT'S ENG OUT PROCS NEAR BXK; DID NOT PERFORM THE PROPER ENG CLRING TECHNIQUE WHICH CAUSED AN ENG OUT; OFF ARPT LNDG.

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I DEPARTED GEC WITH A PVT PLT STUDENT FOR A PREPARATION FLT FOR HIS CHK RIDE SCHEDULED FOR THE NEXT DAY. AFTER TRANSITION THROUGH GYR AIRSPACE; WE ESTABLISHED A PRACTICE AREA N OF BXK VOR. AFTER A SERIES OF STEEP TURNS; DIVERSION TO AN ALTERNATE WAS ACCOMPLISHED. PRACTICE PROCS BEGAN WHEN I PULLED THE THROTTLE TO IDLE TO SIMULATE AN ENG FAILURE. THE ALT WAS APPROX 2500 FT AGL. MY STUDENT PRACTICED HIS PROCS AND DSNDED TO A DIRT ROAD. DURING THE DSCNT; I MONITORED THE EGT AND THE CYLINDER HEAD TEMP GAUGES. BOTH REMAINED IN THE NORMAL RANGE. WHEN I WAS SATISFIED WITH MY STUDENT'S APCH; I INSTRUCTED HIM TO 'GO AROUND.' PWR WAS THEN APPLIED AND THE ENG FLOODED AND QUIT RUNNING. THIS WAS AT ABOUT 100 FT AGL. I QUICKLY TRIED TO RESTART THE ENG; BUT HAD TO TAKE CTL FOR THE PWR OFF LNDG. NO PEOPLE INSIDE OR OUTSIDE THE AIRPLANE WERE INJURED DURING THE EVENT. THE LNDG LIGHT AND NAV LIGHT LOCATED ON THE L WINGTIP WERE DAMAGED DUE TO STRIKING A LARGE BUSH NEXT TO THE DIRT ROAD. THIS EVENT COULD HAVE BEEN AVOIDED IF I WOULD HAVE APPLIED THE THROTTLE TO CLR THE ENG DURING THE DSCNT; ALSO A SMOOTHER APPLICATION OF PWR COULD HAVE HELPED THE ENG BURN THE FUEL; WITHOUT FLOODING.