Complex sentence: In the early months of the administration the scope of Sorensen's responsibilities lay within the domestic agenda; however, after the Bay of Pigs debacle Kennedy asked Sorensen to take part in foreign policy discussions as well.
Split into simpler sentences: In the early months of the administration the scope of Sorensen's responsibilities lay within the domestic agenda. After the Bay of Pigs debacle Kennedy asked Sorensen to take part in foreign policy discussions as well.