Since safelisting of the sender drive-shares-noreply@google.com is a potential risk to other HES users, it is not possible to allow the sender domain from: *@doclist.bounces.google.com to HES relay service.

Creating a custom compliance template from G Suite for this type of google drive notification will resolve the issue of the bounced messages and able to receive the notification e-mail, to do this:

1. On Your Google Admin console (at admin.google.com), go to Apps > G Suite > G-mail > Advanced Settings.
2. Scroll to the Content compliance setting in the Compliance section, hover over the setting then click Configure. If the setting is already configured, hover over the setting then click Edit or Add another.

3. For each new setting, enter a unique description then modify the following:

   1. Under Email messages to affect, select the following:

      • Outbound
      • Internal - Sending

      

      Click image to enlarge

   2. Add expressions that describe the content you want to search for in each message:

      • Select If ANY of the following match the message.
      • Under Expressions select Advanced Content Match.
      • Under Location select Sender header.
      • Match type select contains text then type drive-shares-noreply@google.com
      • Click Save.

      

      Click image to enlarge

4. If the above expressions match, do the following:

   • Select Modify message.
   • Under Route, tick the Change Route checkbox then select Normal Routing.

   

   Click image to enlarge

• Save all the changes.