Hello @Project-SC, M-Athar-Aufi ,
Welcome to Q&A Forum!
According to my test, if you add the entire SharePoint list or library as owner of the Flow, it is true that the Flow will not appear on the this user’s My flows page.

If you want the SharePoint group to be able to manage this flow, please following steps:
1.Log in to the Power Automate as the administrator who has created the flow.
2.Share this flow with SharePoint Group
- Share >> Users and groups >> enter name, email or user groups in the "Add a user or group as owner" text box



3.This Flow will appear in "Shared with me" tab of user's My flow page.

Thanks,
Echo Du
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