That is an nfl league list, not a team list. He’s not subject to this list as the civil allegations occurred prior to him being in the nfl.
The Exempt List is a special player status available to clubs only in unusual circumstances," NFL.com points out, citing the league's manual. "The List includes those players who have been declared by the Commissioner to be temporarily exempt from counting within the Active List limit. Only the Commissioner has the authority to place a player on the Exempt List; clubs have no such authority, and no exemption, regardless of circumstances, is automatic.
https://www.nbcsports.com/boston/patriots/just-what-nfl-commissioners-exempt-list