You basically need to put the style var into your own template.
As an example; my [pbpg] chess mod defines two style vars, one for the background of a black square, one for the background of a white square.
I then added these two style vars to a style sheet within one of the templates like so:
Code:
<style>
.whitesquare {
background: {vb:stylevar whitebackground}
}
</style>