The best Software Solution to back up Office 365 emails is MacSonik Office 365 Backup Tool. The program allows you to export Office 365 Mailbox to PST, MBOX, EML, & CSV file formats on macOS.The tool easily migrates or exports data from Office 365 to multiple cloud servers such as IMAP, and Office 365. Moreover, it also offers a Mail filter & task filter option to download Office 365 Mailbox to PST from a specific date range.