Referee Phil Crossley, who moved swiftly and effectively to diffuse the situation, booked Leeds pair Eric Lichaj and Neil Kilkenny while McCann was also shown a yellow card.
The Clarets admitted the charge of failing to ensure their players conducted themselves in an orderly fashion and/or refrained from provocative and/or violent behaviour.
The Turf Moor outfit have been fined £5,000 while Leeds have admitted their charge, relating to the same incident, and have requested a personal hearing.
Source: PA