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Please kindly understand that the Outlook tag here we mainly focus on general issues about Outlook desktop client. For Outlook mobile, it's suggested to post your issue on this dedicated forum for Outlook for Mobile for more professional help.
Currently, there is no option in the Outlook desktop client to control the notification settings for the mobile client.
In the meantime, I'll post your feedback to a dedicated official feedback portal. I posted a post here and you can vote for it. If you have any suggestions or ideas, we recommend that you post them here. Hopefully, Microsoft will take notice of this in the future. Thank you for your understanding and support!
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