I’m as puzzled as you are… because… EVE has sound?
You are in the Linux subforum. Probably makes more sense to ask for the IRC channel 
But joking aside, what error messages do you get when you start EVE from the console? Wine is probably configured to use pulseaudio, so I guess figuring out if it supports jack and if you can configure it without recompiling or if there is a compatibility layer would be a good start.