That is so cool of you to find out for me. I don't understand why they don't package these things so that they go to the right places, or at least provide clear instructions on how to do it.
The instructions I got say to extract the zip to the rainmeter folder in my documents if it isn't a rlskin format. It don't say anything about sorting the files inside the zip.
RND - I'm not sure how your download ended up the way it did, because ABP is in .rmskin format. When you clicked on download, it should have come up with choosing to open it using rainstaller or save it. If you chose open, it would have installed it to all the right folders.
Just discovered what the problem is likely to be...
There is a posting http://rainmeter.net/forum/viewtopic.php?f=5&t=5888&start=30 at the Rainmeter Forum for ABP, and someone else was having the same problem. Read it and see if it's the same as yours, if so, the answer is...
Your zip program. It coud be detecting the .rmskin as a .zip file, and unzipping it. Don't let it, or zip it back up and rename it to .rmskin. Then just double-click it.
Hope that helps.