Complex sentence: When Taiwan became part of the Qing Empire, it was renamed "The Cheng's Ancestral Shrine" (鄭氏大宗祠) and today the official name is "Ancestral Shrine of Koxinga".
Split into simpler sentences: When Taiwan became part of the Qing Empire, it was renamed "The Cheng's Ancestral Shrine" (鄭氏大宗祠). Today the official name is "Ancestral Shrine of Koxinga".