In a later interview, he made it clear he had no intention of toning down his passion in the dugout.
Lennon had remonstrated with the fourth official after no penalty was awarded to Celtic when Hearts midfielder Ryan Stevenson appeared to handle the ball inside the penalty box with the Edinburgh side already 2-0 ahead.
The Celtic manager had earlier been angered by the sending off of Joe Ledley for a strong challenge on Ian Black.
Lennon revealed last week that the Glasgow club would not be appealing against the red card shown to the midfielder.
Celtic's relationship with officials has been strained in recent months, during which they have twice written for clarification over refereeing decisions.
Dougie McDonald's reversal of a penalty award to Celtic against Dundee United led to the referee receiving a warning - and to assistant referee Steven Craven quitting.
The referee admitted that a false explanation had been given to Lennon about the reasons for the decision during Celtic's 2-1 win.
Celtic were also angered by a penalty awarded against them in their next match, a 3-1 defeat by title rivals Rangers.
The SFA have not yet received any indication that Lennon will fight the automatic two-match touchline ban, although the club have until Friday to lodge an appeal against the suspension.
If found guilty of the excessive misconduct charge by the disciplinary committee on 7 December, he could be punished further.
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