Sometimes books borrowed in Overdrive do not automatically sync to your Kobo. Try:

  1. Log out of your Overdrive account on your Kobo, found in "More" > "Settings" > "Overdrive". Power the Kobo off. After 10 seconds, power the Kobo back on, and log into your Overdrive account again. 
  2. Sync your Kobo by tapping the circular arrow Sync icon at the top of the screen. 
  3. If the Overdrive eBook you have borrowed still will not appear in your Kobo library, it may be a Kobo compatibility issue. To open an Overdrive item on a Kobo, the Kobo store has to own the exact same edition (ISBN) as Overdrive. If Kobo owns a different edition of the item (different ISBN) or no version at all, the item cannot be accessed on a Kobo. Please contact library staff for assistance to diagnose if this is the reason for the issue.