axis Floyd nut question

Hi. I was hoping someone could help. I need to adjust my Floyd Rose on my axis, because it returns sharp after I dive. It sits flat on the body so I assume I need to loosen the claws and let the string pull more tension. The main issue though is the g string seems to go way Sharp when I do the whammy and return. I believe this is a nut issue. Is there anything I can put in the nut to make sure it’s clamping. Maybe cardboard? Does anyone think this is a nut issue or related to the Floyd not being setup properly?
Thank you for Viewing this thread and your help.