The screen you are looking at is the “Stage Info”. You can read more about information shown there at the "Stage Info" screen in PractiScore Competitor app article.
It seems like the iOS app is missing a direct link to the “Scores History” screen from the scores’ menu. I’ll add it in one of the future app updates.
In the meantime you can get to it trough the “Edit Scores” option and then “Review”.
