I don't believe it will be compatible with any of them because the GS series are built by Seasonic and are based on a modified G series platform. The G2 series are built by superflower and based on the Leadex Gold platform, the G3 series are also built by Superflower but based on the Leadex Gold II platform. The Platinum P2 units are based on Superflowers Leadex Platinum platform and the Titanium units are based on Superflowers Leadex Titanium units. The lesser PSU's are a mix of FSP, HEC and Andyson units. You can see who builds which series for them
here.
The best thing you can do is look up your cable kit on it's manufacturers website and have a look at the compatibility list. I think you will be out of luck with it fitting any other EVGA psu's though. You may have a chance with other Seasonic units though. This is the problem with these expensive cable sets. Due to the huge number of different PSU platforms you can find that the kits can't just be transferred to another psu.
One possibility would be to get hold of a modding tool kit that allows you to seperate the cables from the connectors at the psu end and copy the pinouts exactly the same as the cables from your new psu. For a new psu I would be looking at the excellent Seasonic Focus Plus Gold series or Antec High Current Gamer series. Seasonic builds the HCG series for Antec and it's basically a Focus Plus Gold in a different case. Both are fully modular and both have a 10 year warranty. The EVGA units are not worth the extra cost now.