What is shown there is the Description field of a StackApps Application.
That field has the following info message:
This text-only blurb will be shown to users during authentication.
It is not meant to contain markdown. The description need to be edited by the author of the app (in this case that is also Stack Exchange). No fixes in the code are needed.
Here is what an app of mine shows in my profile:
and this is what I entered in the Stack Apps Registration page for that app:
It is not a code bug, it is a content bug. Yes, it would be nice if that gets edited.