BE55 TRAINEE AND INSTRUCTOR DEPARTED RWY DURING SIMULATED ENG FAILURE ON TKOF AT AXH.

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I TRADED MY BONANZA FOR A 1970 BEECHCRAFT BARON BE55 ON JAN/XA/01. ON SATURDAY MORNING I HAD LIED UP A MULTI-ENG INSTRUCTOR TO FLY WITH ME IN THE BARON; N PREPARATION OF OBTAINING MY MULTI-ENG RATING. I HAD FLOWN WITH THIS INSTRUCTOR AND ONE OTHER INSTRUCTOR IN 3 TRAINING SESSIONS IN 2 DIFFERENT BARONS PRIOR TO THIS INCIDENT (BOTH BARONS OWNED OR LEASED BY THIS FLT SCHOOL). WE FLEW 1 1/2 HRS AND RETURNED TO THE FIELD TO DO SOME PATTERN WORK. WE LANDED; TAXIED BACK TO THE APCH END OF RWY 9; AND THE INSTRUCTOR ANNOUNCED THAT HE WOULD FAIL AN ENG ON TKOF ROLL. WE DISCUSSED IT BRIEFLY. I ADVANCED BOTH THROTTLES 100% AND WE ACCELERATED BRISKLY. AT 30-40 MPH; THE INSTRUCTOR PULLED THE R ENG TO IDLE. I IMMEDIATELY APPLIED FULL L RUDDER IN AN ATTEMPT TO MAINTAIN DIRECTIONAL CTL; FOLLOWED FIRST BY L BRAKES; THEN R. THE INSTRUCTOR PULLED THE PWR BACK ON THE L ENG AND WE ROLLED OFF THE RWY TO THE R. THE NOSE GEAR COLLAPSED AS IT SUNK ABOUT 12 INCHES IN THE SOFT SOIL AND BOTH PROPS WERE DESTROYED. NO INJURIES. CAUSE: INADEQUATE EXPLANATION OF PROC; FAILURE TO IMMEDIATELY RETARD THROTTLE; OR PERFORMING PROC BELOW MINIMUM CTLABLE GND SPD. TO PREVENT: THOROUGHLY EXPLAIN PROC WITH REQUIRED ACTIONS AND REACTION TIMES/CONSEQUENCES. SUPPLEMENTAL INFO FROM ACN 497070: INCIDENT OCCURRED WHILE PREPARING A MULTI-ENG STUDENT FOR PRACTICAL TEST. STUDENT HAD APPROX 8.5 HRS IN THE ACFT. TASK TO BE PERFORMED WAS LOSS OF ENG ON TKOF ROLL. BEFORE TAXI; INSTRUCTOR BRIEFED THE STUDENT ON PROC FOR RECOVERY FROM LOSS OF ENG ON TKOF ROLL. STUDENT TAXIED ACFT INTO POS ON RWY AND THE INSTRUCTOR ANNOUNCED THAT HE WOULD SIMULATE AN ENG FAILURE ON THIS TKOF. STUDENT APPLIED TKOF PWR. AFTER ACFT HAD ROLLED APPROX 30 FT; THE INSTRUCTOR CLOSED THE R THROTTLE. INSTEAD OF CLOSING THE L THROTTLE; THE STUDENT STEPPED HARD ON BOTH BRAKES. THE ACFT YAWED VIOLENTLY TO THE R AND THE INSTRUCTOR QUICKLY CLOSED THE L THROTTLE AND APPLIED FULL L RUDDER (NO BRAKES ON INSTRUCTOR'S SIDE). THE ACFT ROLLED OFF THE R SIDE OF THE RWY AT APPROX 10 KTS. THE SOD ON THE SIDE OF THE RWY WAS SATURATED AND THE NOSEWHEEL SUNK ABOUT 12 INCHES INTO IT WHICH BROKE THE STRUT BRACE AND THE NOSE GEAR COLLAPSED. THE ACFT SLID APPROX 10 FT BEFORE STOPPING. THERE WERE NO INJURIES AND DAMAGE TO THE ACFT WAS THE BROKEN NOSE GEAR AND BENT PROPS. TOTAL DISTANCE ACFT TRAVELED WAS APPROX 270 FT. CONTRIBUTING FACTORS WERE THE STUDENT PLT'S FAILURE TO FOLLOW INSTRUCTIONS GIVEN AND THE VERY SOFT SURFACE ON THE RWY EDGE. IF THE SURFACE ADJACENT TO THE RWY HAD BEEN FIRM; NO DAMAGE WOULD HAVE OCCURRED. POSSIBLE CORRECTIVE ACTIONS WOULD HAVE BEEN TO DEMONSTRATE THE PROC FOR THE STUDENT FIRST; OR PERHAPS PERFORM THE MANEUVER AT A LOWER PWR SETTING THE FIRST TIME ALTHOUGH NEITHER OF THESE WERE DONE IN ANY OF MY OWN TRAINING EXPERIENCES.