This behavior is related to how Apsona stores reports and manages permissions. All Apsona reports and customizations are saved as records in the Apsona Item object. For a non-admin user to move reports to Global folders or delete their own reports, they must have Create, Read, Update, and Delete (CRUD) access to the Apsona Item object.
If a user lacks any of these permissions, actions such as deleting reports or moving them out of private folders will not be available, even for reports they personally created.
For broader access—such as the ability to edit, move, or manage all multi-step reports regardless of ownership—an administrator can assign a special permission set with the API name Apsona_Allow_MSR_Full_Access. This permission set does not require any additional configuration; it simply needs to be created (if not already present) and assigned to the user.
Once the appropriate permissions are granted, non-admin users will be able to manage reports as expected within Apsona.