The iOS Sports App Update is Great
Last year Apple released a simple app to track scores just called Apple Sports. It was already my go to app as it was the fastest way to check scores. The first time you launch you will set up what leagues and teams you want to follow. Anytime a team you are following is playing the score will appear on your lock screen using Live Activities. It updates in real time on a very granular leavel. Below is what it looked like while three teams I follow were playing.
You can download the app here