Hi @Anonymous,
I assume that you have two flows, one to insert email details into SharePoint list then move the email to a different folder. Another flow to get the email using the stored Message_ID from the email folder.
However, I am afraid that the action Get email will only get emails from the inbox folder but not others. If you don’t move the original email to a different folder, then the corresponding email would be got. However, once you moved the original email to a different folder, flow will not be able to find out it.
I have made the following two flows to test this issue, please check the images for a reference.


Besides, I would suggest you submit a request on Flow Ideas Forum so that we are able to find out an email throughout the whole email folders:
https://powerusers.microsoft.com/t5/Flow-Ideas/idb-p/FlowIdeas
Best regards,
Mabel