We have a very funny situation in our org, where AWS auth is setup using our MS domain, with app push-based MFA. However, the AWS MFA workflow seems to not know about push based notifications, so it asks for a verification code which can literally be anything. After you provide some code and click Verify, only then does it send the push notification, and the UI just freezes until you either accept the auth request or some timeout happens.
Not to mention, we actually have to provide the Domain password in the AWS UI, which seems to go against any kind of security I know...