SCOM 2012 Test-Mailflow command received an NDR from SystemMailbox

Question

I installed and configured the Exchange Server 2010 Management Pack in System Center Operations Manager (SCOM) 2012. Everything is working fine except one monitor:
"KHI: One or more unexpected NDRs have been received in response to Test-MailFlow cross-premises test messages."
This monitor shows a critical error.
Every 10 minutes, SCOM runs the following PowerShell command:
Test-Mailflow -CrossPremises:$true
The command sends an e-mail to the FederatedEmail system mailbox ([email protected]), but an NDR is generated because the mailbox has a 1MB storage quota and it quickly filled up with test
messages.
How is this supposed to work? Should I just raise the quota on the FederatedEmail mailbox, or is there something else that's supposed to be done? I've consulted TechNet and the Management Pack documentation and I can't find much information about the Test-Mailflow
synthetic transaction or how it's supposed to work. 
We also have a hybrid deployment between Exchange 2010 and Office 365, so I would love it if this Test-Mailflow command could actually test mailflow between our Exchange environment and Office 365. That would be really helpful information to alert
on.
Any help or recommendations would be greatly appreciated. Thank you!
Here is the full text of the error:
Test-Mailflow command received an NDR from
SystemMailbox{GUID}@domain.com in response to a
test message sent to
[email protected].
Delivery has failed to these recipients or groups:
SystemMailbox{GUID}
([email protected])
<mailto:[email protected]>
The recipient's mailbox is full and can't accept messages now. Please try
resending this message later, or contact the recipient directly. Diagnostic
information for administrators: Generating server: SERVER.domain.com
[email protected] #554-5.2.2
mailbox full 554 5.2.2
STOREDRV.Deliver.Exception:QuotaExceededException.MapiExceptionShutoffQuotaExceeded;
Failed to process message due to a permanent exception with message Cannot open
mailbox /o=First Organization/ou=Exchange Administrative Group/cn=Configuration/cn=Servers/cn=SERVER/cn=Microsoft System
Attendant.

Answer 1

Our SCOM 2012 environment is doing the same thing. This test-mailflow is generated by the managment pack and therefore should belong in this forum.
Otherwise, you should remove the support statement in the Management Pack Guide (June 2012)
Cross-premises mail flow monitoring and reporting   The Management Pack includes new mail
flow monitoring and reporting capabilities for customers who use our hosted service.
Error:
Test-Mailflow command received an NDR from SystemMailbox{dfd5527a-b3bb-473a-b7d3-1257984884}@customer.com in response to a test message sent to [email protected]mer.com. Delivery has failed to these recipients
or groups: SystemMailbox{dfd5527a-b3bb-473a-b7d3-a2743d86cdda} ([email protected]) The recipient's mailbox is full and can't accept messages now. Please try resending this message later, or contact the recipient
directly. Diagnostic information for administrators: Generating server: MAIL-01.customer.com [email protected] #554-5.2.2 mailbox full 554 5.2.2 STOREDRV.Deliver.Exception:QuotaExceededException.MapiExceptionShutoffQuotaExceeded;
Failed to process message due to a permanent exception with message Cannot open mailbox <snip>