Complex sentence: The team is, essentially, the college soccer team of Brigham Young University, and are one of the few openly religious teams in the PDL, their host university being the flagship educational establishment of The Church of Jesus Christ of Latter-day Saints.
Split into simpler sentences: The team is, essentially, the college soccer team of Brigham Young University. The Cougars are one of the few openly religious teams in the PDL, their host university being the flagship educational establishment of The Church of Jesus Christ of Latter-day Saints.