In 1673 he completed his book with Theodoret, Evagrius, and the excerpts from Philostorgius and Theodorus Lector: Socratis, Sozomeni, Theodoreti et Evagrii Historia ecclesiastica.
Acciaioli worked mainly on translating Ancient Greek texts, including Olympiodorus on Ecclesiastes, a treatise of Eusebius against Hierocles, and Theodoret's Cure of the false Opinions of the Gentiles, and some other pieces.