Hi MimaEki,
Thank you for sharing with me.
After testing with New Outlook, I realized that:
- Notifications are only triggered for messages that arrive in the Inbox.
- Rules that move messages to other folders stop notifications, because the message never hits the Inbox.
- New Outlook removed support for advanced rules/actions like "Display a Desktop Alert" or granular notification settings that were available in Classic Outlook.
Personally, I completely agree and at least understand the necessity and convenience of turning on notification for all email folders to avoid missing mails and taking action on time.
Because of this situation, I sincerely recommend you go to the feedback community - Ideas · Community and vote for similar feedback. You can also post your own feedback posts in the feedback community. The Outlook product team is in charge of the site and constantly checks customer reviews and feedback. The more votes you get, the more attentive the relevant teams will be. Also, many features are developed and improved based on customer feedback.
As moderators in the community, please be aware and accept that we are not responsible for the design of the product and that we have limited resources for detailed information about Microsoft products. We have redirected them to the correct path to send feedback and requirements to the relevant development team.
If you think my reply is helpful to you, please remember to mark it as an answer.
Best regards
Katherine V - MSFT | Microsoft Community Support Specialist