In order for Office desktop clients, such as Outlook, Skype for Business, to support MFA via federated authentication, your Office 365 tenant needs to be configured to support modern authentication.
Modern Authentication Enabled Clients
However, not all Office desktop clients support modern authentication. Generally speaking, Office 2013 and later desktop clients (including Outlook and Skype for Business) support modern authentication. Check the link below for the list of Office clients that support modern authentication:
Enable Exchange Online for modern authentication
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Enable Skype for Business Online for modern authentication
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Enhanced Clients
Enable Exchange Online for modern authentication
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Enable Skype for Business Online for modern authentication
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