A family of Microsoft products that enable users to capture, organize, and reuse notes electronically.
Dear Martin Rasmussen3
Welcome to the Microsoft Community! Glad to be of assistance to you.
I'm sorry to hear that you're having issues with OneNote not opening. I know this must have caused you problems in your life or work and we apologize.
You first go to the OneDrive web side to search and view these files to see if they have synced properly. If the web end is normal, make sure your phone has enough storage space as well as being connected to a stable network. Or try uninstalling the OneNote app and reinstalling it from the Google Play store.
The synchronization after logging out and logging in that you mentioned is also the base scenario for forced re-synchronization, where you can back up your notes saved on the web side to local or external storage before logging out and logging in to prevent file loss.(Fix sync issues in OneNote for iOS or Android - Microsoft Support) We would appreciate it if you could come back to us.Jennie | Microsoft Community Support Specialist