Teramind support monitoring of Wi-Fi.
But we don't support Bluetooth file transfer at the moment. However, you might be able to capture such activity on one of the monitoring reports, such as the Web Pages & Applications report:
In the above example, image files were shared from a laptop to an Android device using the Send/Receive files via Bluetooth option on Windows.
Click the enable then RESTRICTIONS, then enable DISABLE WIRELESS ACCESS (WI-FI, BLUETOOTH).