Sabathia and Sheets are Type A free agents. Milwaukee would receive two draft picks if they sign with another club.
Shouse is a Type B free agent. Milwaukee would receive one supplemental draft pick if the left-hander leaves.
All three players have until Sunday to accept the offers.
Milwaukee declined to offer arbitration to right-hander Eric Gagne, who signed a $10 million, one-year deal before last season.
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