Most likely that your domain hasn't been indexed by Google yet. Answering your question I would say that, yes Google search engine doesn't like multiple domains for one website, parked domains, redirections, etc. For this reason I usually recommend people to have no more than one domain for a website.
Google finds websites by following links. If there are no links to your parked domain then Google won't find it and index it. Google has nothing against parked domains, they even offer "AdSense for Domains" for parked domains, but websites with no content - just ads - will not rank well in the search engine results.