Rotherham United hit by FA charge
The FA allege that Rotherham "failed to ensure their players conducted themselves in an orderly fashion".
Millwall face a similar rap and both clubs have until 6pm on Thursday to respond.
Wood was booked for the foul but referee Andy Madley took no action against any player involved in the fracas.
Millwall boss Neil Harris claimed Wood should have been sent off, describing the centre-half's attempt to win the ball as "waist high" and "horrendous".