Adcock was selected in the fourth round at pick No. 127 in the MLB draft.
The Wolverines dropped seven of their last eight games to end the regular season.
The Wolverines have lost five games in a row.
The loss extended the Wolverines' losing streak to five games.
Michigan outscored Rutgers 39-7 in its three-game sweep of the Scarlet Knights.
Michigan has now scored 51 runs in its last four contests.
With a win Wednesday, Michigan swept its two-game series against Eastern Michigan.
No. 16 Michigan fell to fourth place in the conference standings after losing two out of three to Michigan State.
Michigan blew a five-run lead in the seventh and eight innings.
The win over Michigan State puts the Wolverines in second place in the Big Ten standings.