The EPL champion was beaten by a last-minute Robin van Persie free kick after coming back from two goals down to tie the game in the second half.
Sunday's contest was largely overshadowed by the home support, who pelted United's players with coins as they celebrated the Dutchman's winner.
Rio Ferdinand was cut above the eye while another fan attempted to get onto the pitch, before being stopped by Joe Hart.
Barry has until Dec. 13 to respond to the charge.
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