You can tighten this sentence up a lot.
I’m just a mom, not an admissions officer, but I had never heard of AYSO until I read this thread. I would not use just “AYSO”. I think you could say “youth soccer” or spell it out, or maybe say “AYSO Soccer” because like Publisher mentioned in the NFL Football example, it’s not College Football or club Football, it’s NFL Football; likewise I think you could say AYSO Soccer. It’s acting as an adjective describing the type and level of soccer you played.
FWIW, I’m not sure there are any AYSO clubs in my area (just did a quick search), but there are youth clubs that are affiliated with United States Youth Soccer Association which says it is the largest youth affiliate and member of U.S. Soccer. In your area of the country AYSO may be more common, but it’s apparently not the biggest youth soccer organization in the country so if you are applying to any schools outside of your area it might be confusing.