All had the same thing occurring with module I haven’t worried too much about it it’s just a minor limitation. A workaround adding another Gmail module just to reply to your admin when mail is sent
The Gmail “Send an Email” module should automatically create the message in the Gmail account’s Sent folder. There isn’t a setting you need to enable. If it isn’t appearing, check that you’re using the Gmail module (not SMTP), that the connected Gmail account is the one you’re checking, and that you’re not sending through another mail service. If all of those are correct, try reconnecting the Gmail connection in Make.