have a look here
Ajcody-MTA-Postfix-Topics - Zimbra :: Wiki
i think by default zimbra only gives a 452 error which is a temporary delivery error. you can change this to give a permanent error. Neither of htese options will generate a reply to sender directly, but most origin mtas will send a message to the sender.
like
john@1stcompany.com sends a message to
mary@2ndcompany.com
if you have it set to permanent fail, mail.2ndcompany.com will tell mail.1stcompany.com that it had a permanent failure. mail.1stcompany.com will then probably notify john with the standard mail delivery notice message.
some mtas are configured to send warning messages on temporary failures as well. but the point is that in either of these situations, your zimbra server doesn't send the actual message, it just tells the sender's mta server that either there is a temporary or permanent failure, and it's the sender's mta configuration that determines if and how the sender is notified.