Kirk,
You are using the "Buffered Pattern Input -Trig.vi" and configuring it to be in Group 0, so you use StartTrig (ACK1) as your trigger signal. So a simple way to accomplish your operation is that you use the "Buffered Pattern Output - Trig.vi" instead of the "not Trig" example and set this one to be in Group 1 so you'll use ACK2 as your start trigger, so if you hard wire (connect) ACK1 with ACK2 then you have synchronized the trigger of Group 0 (input)with the trigger of Group 1 (output).
Another workaround a little more complex is routing signals, the example (found in the same directory of these ones) named "Multi Board Synchronization.vi" shows a form of routing signals to the RTSI bus for multiple board synchronization, take a look to that example and you'll see t
hat in your particular case you can route the StartTrig (ACK1) signal to one RTSI line (i.e. line 0) and then in the second row (if you see the example you'll know what I'm talking about) you route the signal from the RTSI line to the StartTrig (ACK2) which corresponds to your second group, so this example is used for synchronizing two boards, but in your case you can set it up to be for the same board.
For the I/O connector diagram of your board refer to your manual or follow the path: ni.com > Technical Documents > Product Manuals > Search the Product Manuals Library > ... then type "6534"... and press GO, the result is the User Manual for your board and in page C-2 there is the pin diagram.
Good luck!...
Nestor Sanchez
Applications Engineer
National Instruments
Nestor