@Buddhika Malwana Thanks for reaching out.
As Ben has referred the previous discussion.
Unfortunately, managed identity is not supported for SharePoint connector. You can always pass your feedback here if this is something you want to see if logic app SharePoint connector.
The alternative would be leveraging the Graph API for SharePoint in logic app using schedule trigger to get the list and check for lastModifiedDateTime property to know if the list was modify recently or not.
Please 'Accept as answer' and ‘Upvote’ if it helped so that it can help others in the community looking for help on similar topics.