The tightening Scoped Storage permission model enforced in Android 11+ devices for enhanced security/privacy by Google basically means that any apps private data folder is not read/write accessible by  device agent from any reputable MDM solutions.  

If your company is the owner/developer of the app, then a workaround to allow MDM solution to deliver updated app-specific data files from time-to-time may be possible.. Modify the source codes (including using new permissions and file access api calls) such that  such data files  written by the device agent to remaining shared directory allowed in the latest scoped-storage model are read by your app and duplicate to its own private data directory.  To improved security while the data files are in shared directory,  their content should be encrypted in proprietary way so that other apps cannot easily decode the data inside.