The Dodgers selected Banda's contract from Triple-A Oklahoma City on Sunday.
Banda is being traded to the Dodgers for cash considerations.
Banda signed a minor-league contract with the Guardians on Tuesday that includes an invitation to spring training.
Banda cleared waivers and was outrighted Thursday to Triple-A Rochester, Jesse Dougherty of The Washington Post reports.
The Nationals designated Banda for assignment Sunday.
The Nationals selected Banda's contract from Triple-A Rochester on Thursday.
Banda is the only healthy left-handed reliever left in the Nationals' big-league camp and figures to be part of the Opening Day bullpen, Jesse Dougherty of The Washington Post reports.
Banda signed Wednesday with the Nationals on a minor-league deal that includes an invitation to big-league spring training, Mark Zuckerman of MASNSports.com reports.
Banda elected free agency Monday.
Banda was designated for assignment by the Yankees on Saturday.