[Exim] EHLO advertising

Hi,

is it possible to tell Exim 3.36 to advertise himself in an EHLO or HELO
command with the same name of the DNS-MX-lookup ?
We have the following situation:

DNS-MX entry: mail.vit.de
Host-Name e-Mail-Gateway: rzvemgw.vit.de

When exim tries to deliver mails to a mailserver which has an option like
"helo_verify" switched on, it naturally fails because of these two
different names.
I would greatly appreciate any kind of help. Thanx in advance,

Michael