Badge and tier achievements are created by default for every Spinify account. They will be triggered any time a user earns a badge or progresses to a new gamification tier level.
To customize your achievements go to Announcements -> Achievements -> then select the "Badge" or "Tier" achievement.
Then customize the achievement like you would any other achievement.
To learn more about achievements and how to customize them, please see this article.
Note: The default achievements for Badges and Tiers are not added to any channel so if you're using channels make sure to add your achievement to a channel.