Hello,
Unfortunately SmarterMail does not have any built in tools that can do this. The most straight forward way woul dbe to connect Outlook to the account via IMAP and export thr data yourselves. Another option that I client reported several months back was to use this utility. (
https://www.nucleustechnologies.com/imap-backup/ ) I have not used it myself but they seemed happy with the results.
Hope this helps.
Thank you
Tony Scholz
System/Network Administrator
SmarterTools Inc.
www.smartertools.com