I have two questions which might help clarify whether you have adware and what adore you have:
1. What behavior on the Mac leads you to suspect adware? Knowing what the pop ups are may help identify what needs to be removed. Also is pop-up blocking turned on in your browser?
2. This is more a matter of curiosity / additional info. Where did you download the software from? Download.com and Softronic seem to be serving up software loaded with adware these days.
I just downloaded AdwareMedic from the SafeMac site and ran a scan just out of curiosity. I didn't expect to find anything but surprise surprise there was a single file left over from my removal of Geneio over a year ago.
I very handy app indeed. All thanks for the link from cradom. The Safe Mac » Adware Removal Guide
Well, for starters I think its a reddit post, so it's about two steps above a 4chan post.
But even assuming it was true, that was eight months ago. If someone uploaded a rogue version of the software, MacUpdate's users would be VERY quick to alert Misha and the team, and MU would subsequently remove the download and suspend the uploader.
There is, I think, a huge difference between a site that accidentally gets some adware uploaded to it, and a site like Softonic that relies on this for their business model.