VM130 new project

Dear friends I have bougth a VM 130 to control a ligth signaling device.
As it has to work in a middle of a field I have to use 12 V car batteries
The light system consist in two 12 V DC led flashing ligths device.
I do not understand very well the scheeme shown in the box and will appreciate very much any help.
Into the device I have 3 conectors in every channel :
wich cable have I to conect ? ex:
the positive cable to on?
the negative to COM?
wich one on nc?
wich kind of power supply do you suggest in this case where ac is not available?
Thank you in advance for your reply.