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Were you signed into any google services? I am not aware of it, but google might be caching profiles to ip addresses. Then that could taint the results that Moz brings back. It is really a tough area, google tries to stop people like Moz and Moz tries to get around google.

My best guess would be because of the landscape of search engines. Search results used to be if anyone searched for "dogs" everyone saw the same results. For the past few years google has been actively tailoring search results to what you want to see. These things are based on what you have searched for in the past, sites that you frequent, geographic location, and many other factors.

My best guess is that Moz uses proxies to do their search monitoring. So they generally return general results. When you are testing, are you just opening up your browser and googling what terms you want to rank for? If so, you are more than likely getting results tailored to you. Use a proxy like tor, not logged into a google account and search. Try changing nodes to and you will see the results differ as well.

If it were me, I would do a spam report and send a DMCA notice to both the host and to the contact on the site. I would press the issue as hard as I could. Basically contact anyone who will listen and can do something.

This is really to be expected. The authorship is in beta and their is no guarantee that google will use your picture or that you will be included in the beta. That being said, my best guess is that they do this so they can monitor click thru rate. Every site I manage has this problem, so I wouldn't fret.