Processes in Microsoft 365 for setting up Office apps, redeeming product keys, and activating licenses.
Dear ClementLi,
Thank you for posting to Microsoft Community.
I understand that you are facing email delivery and delay issues in your organization. I have gone through your description, and since this the trace is not showing the delivery to the group, it is best to contact our online support team to further investigate on this. You may be asked for an export of the extended message to further track down and analyze the connection requests between the account and the Exchange service. Steps to collect this can be found here. Message trace in the new EAC in Exchange Online | Microsoft Learn.
Please understand that we don’t have higher permissions to check and analyze these logs and considering your scenario maybe inconveniencing, to quickly help assist, you can create a service request to report this symptom to our online channel through the O365 admin center and a support agent can further connect with you remotely for further troubleshooting and involve the backend team where need be. Get support for Microsoft 365 for business -- Online support.
Your patience and cooperation are much appreciated.
Thank you for your precious time and have a great day.
Best Regards,
Ashraf.