Howto save mails in send items send via SMTP to exchange 2016 server

In exchange server 2016 I like to save all mails send via smtp (authenticated) to the users send mail folder.

I did setup the mailbox already with

Set-Mailbox Team -MessageCopyForSentAsEnabled $true -MessageCopyForSendOnBehalfEnabled $true

however, mails send via smtp (port 25/2525/587/465) are not saved to send items.

Thats' required as I have configured journaling for mails on the mailbox database to copy all send and received mails, but that requires of curse that mails are being saved in send items.