For security reasons you might not want to send email that contains the X-Mailer and X-Originating-IP headers. To disable this follow below steps.
First login to the Zimbra server with SSH.
su zimbra
# Prevent Zimbra from sending X-Mailer header
# Set to FALSE:
zmprov mcf zimbraSmtpSendAddMailer FALSE;
# Get current value:
zmprov gcf zimbraSmtpSendAddMailer;
# Prevent Zimbra from sending X-Originating-IP header
zmprov mcf zimbraSmtpSendAddOriginatingIP FALSE;
# Get current value:
zmprov gcf zimbraSmtpSendAddOriginatingIP;