Problem with authorization or Adobe Digital Edition and Kobo Reader

I have authorized Adobe Digital Editions and my Kobo Reader for Adobe ID. I used overdrive to download an epub book to Adobe digital Deitions form my local library.

I can read it in ADE but when I transfered to Kobo I tried to open it and it I was not authorized.

I deauthorized both ADE and Kobo and reauthorized for overdrive, and same problem. Overdrive handles epub books.

I have no idea what the problem is.