The statement read: "We are pleased to see the matter dealt with by the courts so quickly. We note that he has been given a 16-week jail sentence and a five-year banning order.
"The club will also ban the individual for life from Elland Road when this banning order expires. While we are pleased to see justice brought so quickly, our one disappointment is that we feel the sentence could, and should, have been considerably longer."
Cawley had previously been banned from attending football matches when he was just 16.