If you can't connect your Outlook or Live accounts via special login option in the app, try this:
Outlook login issue:
- Login via Live option
- Login via IMAP option
Live login issue:
- Login via Outlook option
- Login via IMAP option
Here's a link where you can check on issues with IMAP login and other possible issues: I can't connect my email via IMAP option (or I have 2-steps login)