Complex sentence: He then repeated Al Asadi's assertions to him that he had never fought against either US forces or the Northern Alliance, and that Al Asadi believed that the dates of his travel confirmed his story that he did not travel to Afghanistan to fight Americans.
Split into simpler sentences: He then repeated Al Asadi's assertions to him that he had never fought against either US forces or the Northern Alliance. And that Al Asadi believed that the dates of his travel confirmed his story that he did not travel to Afghanistan to fight Americans.