the following pics are the wiring for evidence audio lyric cable. Its their cable from 6/7 years back, so iam not sure if they did any changes to it in the last few years. But in general the following shud work for the wiring.
anyway, to wire it, you take one of the core with extra shielding(in the pic shown, extra shield is in white) and solder to the "tip" point of a 1/4' phone plug. (Tip is "hot" point, where our guitar signal travel.)
the other core
without the extra shielding, thats the ground. Take this and solder to the "sleeve" point of the 1/4' phone plug.(Sleeve point is our ground)
the 3rd exposed find strand of wires that surround the 2 cores, you can trim it and not solder to anything. But if wanna, you can solder it to ground as well. The evidence lyric cable which i got, this exposed wires are not soldered to anywhere.
depending on the 1/4' phone plug which you use, some do not have its own sleeve point to solder the cable to. In this case, you can just solder to any point in the plug itself. 3rd pic shows 2 different kind of 1/4' mono phone plug, where the 'straight' plug has a 2nd point to solder the ground cable and the right angle plug only has a tip point.
anyway, the above just a brief intro to the wiring, if wanna find out more, just google for it. The plug that we use for geetar is a mono one and usually refer to as
TS phone plug, where "T" is tip(signal path) and "S" is sleeve"(ground). For stereo jack, its
TRS, aka "tip", "ring", "sleeve". Ring is the extra point and for stereo equipment, tip and ring will each carry the left and right signal, eg our earphone.