The ban is due to comments which he supposedly said to referee Kenny Clark and his two assistants, following Celtic's 4-0 win at Rugby Park on Sunday.
Sutton was give 2 red cards in the tunnel, and was already booked in the game for 'persistent fouling'. I seem to remember Sutton was upset with the linesman over a foul given against him in the first half.
However, a 4 match been seems harsh, and he will miss the start of the season.