Alleyne became the first Terp in program history to hit 20 homers and steal 20 bases in the same season.
Shaw tied school records for home runs and RBIs in a game as the Terps trounced the Wolverines.
The Terps blew a seven-run lead but scored in the bottom of the eighth inning to earn the victory.
The Terps remain 2.5 games out of first place in the Big Ten ahead of their rubber match with the Scarlet Knights.
The Terps posted four runs in the seventh inning and three in the eighth to take the season series against the Wildcats.
The Terps outscored the Fighting Illini, 20-13, in Saturday’s two-game, 19-inning affair.
The Terps lost by their largest margin since 2010 in a one-sided matchup.
Bobby Zmarzlak's 10th-inning home run secured the victory for the Terps.
The three-RBI homer snatched the victory for the Terps in the first match of a three-game series against the Buckeyes.
Jason Savacool struck out seven batters, but the Terps were unable to sweep the series.