Non-Delivery Report: [501.5.1.8 Your message couldn't be delivered because the email has no mail from address]

Install Exchange Online PowerShell V2 module: 

1. Open the Windows PowerShell and run this command as an Administrator:
   
   Install-Module -Name ExchangeOnlineManagement
2. Confirm that you want to install this PowerShell module.
   Note: For additional installation options, see ExchangeOnlineManagement.

Connect to Exchange Online: 

• If you have Multi-Factor Authentication enabled, run this command:
  
  Connect-ExchangeOnline -UserPrincipalName <UPN> -ShowProgress $true
  In <UPN> enter your username.
  
  
• If you don't have Multi-Factor Authentication enabled, run this command:
  
  Connect-ExchangeOnline -Credential $UserCredential -ShowProgress $true
  
  When prompted, enter your password (and the Multi-Factor Authentication verification code if required).
  
  Once you have successfully installed the Exchange Online PowerShell module and connected to Exchange Online, please see what you need to do next if the email is sent to a group and if the email is sent to an individual user.

• If no on-premise Active Directory exists, then amend the distribution group properties in Office 365 using Windows Powershell.
  
  To complete the steps described below, you will need:
  Office 365 Global Administrator credentials
  
  Amending the distribution group properties:

1. Run the following command:
   
   Get-DistributionGroup <Group Email Address> | fl *ReportToOriginatorEnabled*
2. If the value returned is False then run this command to change it to True: 
   
   Set-DistributionGroup <Group Email Address> -ReportToOriginatorEnabled $true

• If an on-premise Active Directory exists and the distribution group is synchronized to Office 365, then: 
  
  From the distribution group Properties, set the attribute ReportToOriginator to TRUE.
  
  These changes will not take effect until the on-premises Active Directory domain has been synchronized and replicated in Office 365.

• Specify a dedicated mailbox, as the recipient for Journal Report NDR messages, in Office 365 using Windows Powershell.
  
  To complete the steps described below, you will need:
  Office 365 Global Administrator credentials

  
  Specifying a dedicated mailbox:
  

  Run the following command:  

  set-transportconfig -JournalingReportNdrTo <insert mailbox address>
  Tip! Microsoft recommends that the JournalingReportNdrTo recipient be set to an external email address or a dedicated mailbox created, which has no transport or mailbox rules applied.