I got a badge today (yay!) for a specific question.
On the website the notification has the title of the question as a link as part of the notification.
On the android app all I get is:
You earned a new badge!
Popular Question - Asked a question with 1,000 views
I think the display should be similar to the website:
You've earned the "Popular Question" badge for Under UK Building Codes are you allowed to add an additional stopcock?
Where "Under UK...." would be the question title.
Tapping the notification in the feed should open the post in the app.