Hi shrygpta,
Welcome to Microsoft Community. I’m happy to assist you with your concern, about Outlook.com app requiring your to login again while you are logged in to your account using your mobile device.
I understand your frustration regarding this matter, we are here to help you and we will do our best to get this issue resolve for you. May I ask if this is also happening to a same mobile device even when using a different account?
Does the issue still persist if you remove the account and re-adding the account from the app? Can you tell us when was the last time it work?
Can we also have the log files of your Outlook.com app? We need that log files to investigate what's causing this issue for you. Also please provide us the mobile information of your phone. Kindly upload the requested information
in the private message area.
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We are looking forward to your response and to the answers to our question.
Thank you.