In Settings → Accounts, I have another account for Send mail as. And in Forwarding and POP/IMAP, I enabled the auto forward.
The problem is, when Gmail auto forwarded it, didn't used the "other account". Why?
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send mail as setting is used to send new mail, respond to email, or forward a message to one or more people. It looks like you are sending email from that other address.
Forwarding and POP/IMAP sends all your incoming email to another address. You use this if you want to send all your email to a new address.