The incident, which caused damage to the plastic pitch, happened at Westfield Stadium on November 30, during Rangers' 2-0 win in a fourth round match.
Emma Leslie, 16, of Glasgow, denied two charges, including possessing a flare in a sports ground, during an appearance at Falkirk Sheriff Court last Friday.
On Tuesday, Celtic suspended 128 fans from home and away matches after seats were wrecked and flares and smoke bombs discharged during Friday night's 5-0 win at Motherwell.
Another 250 season-book holders from Section 111 - the area that houses the Green Brigade - will be given the choice of being relocated or having their money refunded.
In the wake of the Westfield incident, Falkirk's general manager David White called for pyrotechnics to be eradicated before they cause serious injury.
He said the SFA and Scottish Professional Football League had to become more involved in combating the issue.
A spokesman for the SPFL said: "There has been a small number of isolated, high-profile incidents involving flares over recent weeks and we are working with clubs, the SFA and Police Scotland to tackle the problem.
"In collaboration with our partners, we are committed to eradicating such behaviour from the game. It is dangerous and irresponsible and has absolutely no place in our sport."