Complex sentence: Kortchmar used his association with the King Bees (who once opened for Peter and Gordon), to connect Taylor to Peter Asher, who was A&R head for the Beatles' newly formed label Apple Records.
Split into simpler sentences: Kortchmar used his association with the King Bees (who once opened for Peter and Gordon), to connect Taylor to Peter Asher. Asher was A&R head for the Beatles' newly formed label Apple Records.