First, a couple of suggestions for improvement; it would have been a good idea to give an idea of what the program was about in the title, and just quoting that link makes it look as if this might be some kind of malware attack attempt (if you write, 'Have you heard of this program name, followed by a link, if people are suspicious they can just use a search engine; what you did has an unfortunate resemblance to what the scammers do, either to drive traffic to their sites selling crud, or to drive traffic to sites with some kind of attack on your browser, and I'm sure that you don't want to be mistaken for either of those kinds of low lifes).
I had a look at the site and in their products section there was no mention of Linux; that seems like a clear indication that there is no Linux version today as you are likely to get (why would they create a page telling you about the products that you can buy and not mention the linux one?). That said, it might be worth sending them an e-mail; there could be a version in the works or there might be a beta test program that you could get on as a tester, but it is a long shot. It also reminds them about the Linux market and if they get enough people asking, maybe that's a problem that they will feel the need to address.
If your problem is largely about citations, as shane25119 seems to be assuming, then there are possible solutions. Zotero, does work, but I don't generally use Firefox and I don't like the way that it works that much. (But it does do the job. Sort of. And, its probably closer to working well if one database of scientific publications covers everything you want to cite; that isn't really what I want.)
kbiblio/kbib works brilliantly (read that as working exactly as I want, which may not be the same as you want) but:
- is best integrated with the koffice suite
- the version I checked ~9 months ago didn't work with the then-current Open Office version. There was a suggestion that, by now, this should change (I think you needed OO 3.1), but I haven't yet been back to check it out
You could use kbiblio with koffice and cut 'n paste the results into OO, but it isn't the most comfortable way of working. Or maybe it works directly, these days, but I was going to go back and re-check when the new koffice comes out and that hasn't happened (well, it may have happened, but news hasn't reached me and I haven't yet had a compelling reason to install it and spend the time).
It could be that an as big/even bigger problem for you is the rest of the formatting requirements. While you should be able to make OO format your document anyway that you would like, it will take work, and I would certainly understand if you would prefer to be working on your work rather than on the formatting. maybe it depends on how onerous/nitpicking the formatting requirement actually are.