Players normally receive three match bans for violent conduct but Markovic has been handed an extra game because he was sent off when playing for Benfica in last season???s semi-final.
Having been substituted during the second leg against Juventus, Markovic became embroiled in a touch-line altercation and was red carded by referee Mark Clattenburg.
It was already clear the ??20m summer signing would be unavailable for both legs of Liverpool???s Europa League last-32 clash with Besiktas, which starts on Thursday, but he will now have to miss the whole of any potential last-16 encounter as well.
Markovic was very controversially sent off during the 1-1 draw against Basel at Anfield, just 15 minutes after coming off the bench.
As he ran forward with the ball, he pushed his hand into the face of the pursuing Behrang Safari, who tumbled to the ground in a somewhat theatrical manner.
Markovic has reacted to news of his ban on twitter, posting a picture of himself after he was sent off with the message “4?”