The reason his has 2 inputs and yours has only one is that the Siemens timers have a Reset input to the block. Now, it has been years since I've touched AB software, but IIRC, the AB uses a -<RES>- instruction, referenced to the timer or counter block address. You would only need a momentary input to that to reset it, or use the DN bit, and this would go on a separate rung. Look around in the instruction set under Timers and Counters.
EDIT: Looking at Rong 4, you already have a reset for your timer... do likewise for your counter.