Adekoya, Danladi and Gasper joined Amick and Stolz in earning postseason awards.
Freshman striker Abu Danladi posted five goals and six assists this season for the Bruins.
Junior forward scored two goals in the semifinals to lead UCLA to the championship game.
Leo Stolz was named to the first team and Michael Amick was named to the third team.
UCLA lost to Virginia 0-0 (4-2 PKs) in the College Cup Finals on Sunday afternoon.