Moore was acquired by the Royals from the Rangers on Wednesday.
Moore was reassigned to minor-league camp Tuesday.
Moore signed a minor-league contract with the Rangers on Thursday which includes an invitation to spring training, Jon Heyman of FancredSports.com reports.
Moore went 2-for-4 with a home run and two RBI in Friday's 7-6 loss to the Blue Jays.
Moore was activated off the restricted list Tuesday.
Moore was placed on the restricted list Monday due to improper documentation with his passport, Marc Topkin of the Tampa Bay Times reports.
Moore had his contract selected from Triple-A Durham on Friday, Marc Topkin of The Tampa Bay Times reports.
Moore will head to Triple-A Durham after clearing waivers, Marc Topkin of the Tampa Bay Times reports.
The Rays reassigned Moore to their minor-league camp Sunday.
Moore will be sidelined for 5-to-6 days after suffering a left thumb injury, Marc Topkin of The Tampa Bay Times reports.