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Hi Aldina,
Thank you for sharing the detailed situation from you side.
I understand your concern is that when a new user is added to a SharePoint site and set as the owner of the site, he is not informed to be the owner of the site, thus it is not easy for him to find which site he owns and he needs to follow.
If you add the user to site by adding him in the related group and set him as the Owner, it is expected that he will only receive an email about join the site group but not be notified that he is the owner. Sorry for the inconvenience.
I recommend you use the following method to add the new user to SharePoint site:
1.In the SharePoint site, click the gear icon, select Site permissions>Advanced permissions settings.
2.On the site permissions page, in the existing SharePoint groups, click the Site Owners group that has Full Control permission, click New, then Invite people, enter name or email address of the new user. Here you can add a personal message saying about "you are the owner of this site".
Then when the new user receives the invitation email, he will see the message and be notified of the ownership of the site so that he goes to follow the site.
You may use the above method as a workaround for letting the non-admin users have a view of sites they own.
As there is no out-of-box feature to achieve the requirement, I recommend you share your valuable feedback to SharePoint UserVoice. UserVoice is monitored by the related team, it would the best way to let the developers know your requirements and comments.
We appreciate your understanding.
Best regards,
Tina