Changing FQDN for Send Connector

Question

I have Exchange 2013 CU3 here, all is working fine, as far as i see.
Recently i used DNSStuff for checking thing and discovered that SMTP Abuse results give me:
EHLO dnsstuff.com host.domain.local
and not host.domain.com
Checked my Send Connector - Internet settings in Scoping section
FQDN:
Specify the FQDN this connector will provide in response to HELO or EHLO.
is set to host.domain.com not local.
Should i also change the same on Receive connectors?
If so, how? Because it gives me:
error
If the AuthMechanism attribute on a Receive connector contains the value
ExchangeServer, you must set the FQDN parameter on the Receive connector
to one of the following values: the FQDN of the transport server
"HOST.domain.local", the NetBIOS name of the transport server "HOST", or
$null.

Answer 1

Sorry for late replies..
it is still unclear to me. I made new domain company.local and installed Exchange 2013, All is working good.
One thing bothers me.. for example NDR from my server includes company.local server, for example NDR to non existing user:
Diagnostic information for administrators:
Generating server: SERVER.company.local
Remote Server  returned '550 5.1.1 RESOLVER.ADR.RecipNotFound; not found'
Original message headers:
Received: from SERVER.company.local (10.0.0.69) by SERVER.company.local (10.0.0.69)
with Microsoft SMTP Server (TLS) id 15.0.775.38; Mon, 14 Apr 2014 14:41:20
+0200
Received: from mail-wi0-f174.google.com (209.85.212.174) by SERVER.company.local
(10.0.0.69) with Microsoft SMTP Server id 15.0.775.38 via Frontend Transport;
or SPF check from the same NDR
Received-SPF: Pass (SERVER.company.local: domain of GMAIL_ADDRESS
designates 223.85.333.111 as permitted sender) receiver=SERVER.company.local;
client-ip=223.85.333.111; helo=mail-wi0-f174.google.com;
Is it all OK?
Thank you