Complex sentence: Coico resigned, effective immediately, on October 7,2016, soon after The New York Times approaching university officials with evidence suggesting Coico fabricated an expense report; however, neither the university nor Coico gave no reason for her abrupt departure.
Split into simpler sentences: Coico resigned, effective immediately, on October 7,2016, following The New York Times approaching university officials with evidence suggesting Coico fabricated an expense report. However, neither the university nor Coico gave no reason for her abrupt departure.