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It was asked a couple years ago that Smartermail support syncing the Drafts folder using ActiveSync. The thread is here: https://portal.smartertools.com/community/a437/sync-drafts-via-activesync.aspx
The response was that the ActiveSync specification did not allow syncing the Drafts folder.
That has since changed. Beginning with EAS version 16, released in 2015, syncing the Drafts folder is supported. See https://blogs.msdn.microsoft.com/exchangedev/2015/06/08/announcing-exchange-activesync-v16/ Can we get support for syncing the Drafts folder added to Smartermail?