I've set up Apple Mail app on Mac to forward my incoming e-mail to Evernote, so that I save it all into a searchable archive.
And I've set gmail (admin console) to forward outgoing mail to Evernote too..
The outgoing forward is flawless.. I can create and send from Apple Mail and the gmail server forwards it to Evernote.
The incoming mail comes in twice! That's a bit overkill.
I tried setting it up in the gmail server too..but it still comes in twice. So.. My conclusion is that Evernote gets it wrong.
I deleted the forward (and it didn't come in anymore) and recreated the rule.