Using the New Outlook for Mac features in business environments
Hi, Arabella Mariz De Luna
Welcome to Microsoft Community.
I realize that most of your new messages goes to Conversation History rather than Inbox in New Outlook for Mac, I understand your confusion.
Regarding emails that go into conversation history: usually emails only go into conversation history when a rule is applied, so please go to Outlook.com and go to Settings ->Mail -> Rules to see if there is a rule that forwards emails accordingly.
Correspondingly, as a workaround, you can create a rule that will direct emails sent to you to the Inbox folder, just like the following picture shows:
Hope that can be helpful and please feel free to contact me if you need further help.
Best Regards,
Cece | Microsoft Community Support Specialist