How do I configure the wires in the LVDS 30 pin cable?
I am not really sure what you are asking, and I am not really familiarized with LVDS cables, but you need to rewire, I see two solutions:

1.- If you can rewire at least one of the connector ends:

Disconnect everything from that end, with a multimeter probe for continuity form the end that is still wired to the loose cables on the other end, and go wiring one by one, matching the names on the list you posted.

2.- If you can't rewire at least one of the connector ends:

You need to cut cables by half and repeat process one but with both ends, soldering one by one.