How to get email notifications on the new Outlook Android app The new Outlook Android app show new emails when they arrive but does not show the notifications for them. How can I turn on email notifications?
I am not using Quick Filter.
You can set notifications to be for Focused only, all or none per
  account. The default is Focused only, so if you turn off Focused Inbox
  globally you get no notifications unless you go into the account
  settings and set them to all. [Ref. - Android Central]


In the new Outlook app, the default notifications setting is Focused only. In order to see notifications for all emails follow the following steps:


Open the Outlook Android App Settings
Select your account, e.g., john.doe@outlook.com
Under Mail Notifications select All in the pull-down menu.