There could be any number of reasons that EZDrummer Lite won’t authorize. First, it was discontinued 2 years ago and is only supported in Windows XP or Vista and hasn’t been tested in newer OSs. EZDrummer Lite has been replaced with the demo version of EZD2 which I would recommend trying.
Second, from your pic, I don’t see any authorization code posted in the ‘Paste your authorization code here’ field. Not having your authorization code there would cause the fail screen to happen.