Here's a pic that should help:
The green line is the starboard mainsheet, red the port mainsheet: 4-part purchase using fiddle blocks anchored to the sterns. The mainsheets attach to the mainsail with a 6mm dyneema line that runs thru a snatch block: the balls (held in place with dyneema twine) allow for the sail to travel independently a bit: really useful when short-tacking up a channel. The double-mainsheets separate adjustment allows the sail to be kept flat when easing, and enables better trimming in most conditions. The wingsail is boomless, with a 5' gaff at the head.
I am motor-sailing home from Catalina Island in the pic: had to get some Seattle folks back in time to catch a plane.
KGW, I'm trying to make sense of what I'm seeing in your photo. Green line has blocks and goes to what? Is that the boom or is that a brace for the ama? What about the red line? No blocks there . . . ?