You will need to use Get-MessageTrackingLog to trace those Email delivered to Distribution Group since the Delivery Report in Exchange EAC seem like cannot be used to archive the goal.
You can change the (Get-Date).AddDays(-1) to search for Email for past -X days
Get-MessageTrackingLog -ResultSize Unlimited -Start (Get-Date).AddDays(-1) -Recipient "[email protected]" | Format-List Sender, Recipients, MessageSubject, TimeStamp
Sender : [email protected]
Recipients : {[email protected]}
MessageSubject : Email Testing @405PM
Timestamp : 7/10/2018 4:03:14 PM
Sender : [email protected]
Recipients : {[email protected]}
MessageSubject : Email Testing @405PM
Timestamp : 7/10/2018 4:03:14 PM
Sender : [email protected]
Recipients : {[email protected], [email protected], [email protected], [email protected]}
MessageSubject : Email Testing @405PM
Timestamp : 7/10/2018 4:03:14 PM
Reference Links
1. https://docs.microsoft.com/en-us/powershell/module/exchange/mail-flow/get-messagetrackinglog?view=exchange-ps
1. https://docs.microsoft.com/en-us/powershell/module/exchange/mail-flow/get-messagetrackinglog?view=exchange-ps