"It is alleged that in or around the fourth minute of the fixture, both clubs failed to ensure their players and/or officials conducted themselves in an orderly fashion," the FA said in a statement.
The clubs have until Thursday to respond to the charges.
The win gave third-from-bottom Sunderland a boost in their bid to escape relegation, allowing them to close the gap on fourth-bottom Norwich to one point.
(Reporting by Simon Jennings in Bengaluru; Editing by Toby Davis)
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