Villa's players reacted with frustration when Gabriel Agbonlahor was dismissed by referee Lee Mason in the 65th minute of a 1-1 draw at Villa Park on December 20.
Agbonlahor's red card, for a tackle on former team-mate Ashley Young, was subsequently rescinded by the Football Association (FA).
United have been fined £4,000 for failing to control their officials, with first-team coach Chris Morgan having been sent to the stands following his side's winning goal.
After the match, Southampton manager Ronald Koeman accused United's coaching team of a lack of respect.
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