Good question - I don't know how LOR triggers work. What is needed to trigger the board is a simple relay or other switch closure for about one second. However, that switch needs to be able to handle 12VDC. The board is designed to use its 12VDC source as the power that is used to charge the master RC timer. If LOR has the capability of switching hot contacts (AC or DC) then you should be OK.
"Remember that stones are all chang'd now in nine grounds out of ten.
You are never sure until you question."