Just to clarify, a site need not work with Mozilla or any other particular browser in order to be listed -- as long as it works with at least one of the browsers that the editor happens to check it with. I included that information for your own benefit, since you may be losing customers, since editors may not use the particular browser which allows your web page to work, and since the link coding on your pages is obviously wrong. And remember -- just because IE happens to allow people to view web pages with malformed links at the moment doesn't mean that it will do so forever...
I think you could fix the problem by moving your site to a Windows-based server (instead of Unix, Gnu-Linux, or Mac), or by just changing all of the backslashes in your links to the standard slashes (seems a bit easier to me...). Or you could leave things as they are, and hope for the best when customers or editors stop by your site. The choice is yours.
However, the comment that was important with regard to listing your site was that it does not appear to be relevant to that category. Fixing the links will have no bearing on this statement. To be listed in that category you would need:
1. to have prices.
2. to aim at the retail consumer, not businesses.