Taupaki is the second former UCLA defensive linemen to follow Ikaika Malloe to Happy Valley.
Davis recorded 13 total tackles this season, with his best game coming against Clemson, when he tallied six tackles in Boston College's loss.
Gilliam will rejoin Jim Knowles and Anthony Poindexter Jr. with the Volunteers.
Schlaffer left the program midseason and was the first to enter the transfer portal.
Alrbight did not appear in any games for the Red Flash in 2025.
Matt Campbell continues to reinvent the trenches with his latest acquisition.