If the authorization screen keeps coming up after authorizing the Trilogy or Atmosphere wrapper, then you will need to do the following:
Write down or type the challenge code you see and use that code to get a valid response from the authorization area of the website.
DON'T use the "copy" button to get the challenge code from the authorization screen.
On some systems, the "copy" button will copy an incorrect challenge code, so the response you get will also be incorrect.
Make sure you press the "Authorize" button in Atmosphere/Trilogy - if you just click "OK" it will keep it in demo mode.