Moore cleared waivers and was outrighted to Triple-A Scranton/Wilkes-Barre on Sunday.
Moore was designated for assignment by the Yankees on Thursday.
The Yankees reinstated Moore (knee) from the 15-day injured list Saturday and optioned him to Triple-A Scranton/Wilkes-Barre.
The Yankees placed Moore on the 15-day injured list Thursday with right knee bursitis.
The Yankees claimed Moore off waivers from the Phillies on Friday, Gary Phillips of the New York Daily News reports.
The Phillies designated Moore for assignment Wednesday.
Moore was optioned to Triple-A Lehigh Valley by the Phillies on Saturday.
Moore had his contract selected by the Phillies on Tuesday.