I have the same issue today. Have no norton no avg only kaspersky and onedrive.
Kaspersky is not the thing which cause the issue.
The problem is in one drive for me.
It has option (when You click on it in toolbar) more... ->(or something I'm on polish version) and there are 'settings'->
in that setting there are tabs : settings, account, automatic saving (automatic backup - I dont't know english version), network, office (in my case), informations.
You chose automatic saving (automatic backup) and as the first is protect important folders (or something).
Click the button above and UNCHECK what You want (there should be desktop, documents, photos).
After that my green checks dissaperas.
Be carefull because the icons which have that green circe WILL BE REMOVED after that changes in options, so make earlier copy of that icons (or programs, or anything You have on desktop and the other mentioned folders).
If it happens stay come. That things should be still in one drive folder in their specific folder names (desktop, documents, photos).
If every thing works fine remember to remove that folders (desktop, documents, photos) from one drive for space saving :) if You want to .