Other decisions loom: All-Star reliever Wade Davis, All-Star shortstop Alcides Escobar and outfielder Jonny Gomes have club options, while Alex Gordon has a player option worth $13.75 million after the All-Star outfielder achieved a series of escalators.
The 34-year-old Rios had a $12.5 million option with a $1.5 million buyout, while the 36-year-old Guthrie had a $10 million option with a $3.2 million buyout.
Both moves had been expected. Rios struggled much of the season, though he contributed a few key hits in the World Series. Guthrie was left off every postseason roster.