The league announced the fines on Tuesday.
Drummond shoved Acy with 18.4 seconds left in the third quarter of the Nets' 108-96 loss to the Pistons on Sunday at Barclays Center.
Acy pursued Drummond and attempted to further the altercation, which began while battling for a loose ball. Referee David Guthrie stepped in to intervene but was pushed away by Acy.
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