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For the accurate and easy Exchange to Office migration, a professional tool is must and the Shoviv Exchange Server Suite is appropriate for this. It allows smooth migration of multiple numbers of source mailboxes like EDB files, Outlook Stores, Office mailboxes, Live Exchange mailboxes, etc. into Live Exchange (On-premises), Office and Outlook PST files. Along with this, the Mailbox mapping option, Search Option, Filter Option and option to preview added source mailbox are also given. It is capable to smoothly migrate Live Exchange/Office Public folders and Archive Folders into another Live Exchange or Office Public and Archive Folders. To check its working a free demo/trial version of the software is also available.
For more info - Exchange to Office Migration
Some days ago I had also faced that type of problem, but I have found this blog https://www.recoveryfix.com/blog/edb-to-office-365-migration-guide/ and manual method to export EDB to Office format.