The Blues manager was highly critical of referee Chris Foy, who sent off Jose Bosingwa and Didier Drogba as well as awarding Rangers a penalty.
Chelsea also had seven other players booked, resulting in a £20,000 fine.
Villas-Boas previously denied the charge but was found guilty and warned about his future conduct.
Speaking after the game at Loftus Road in October, the Portuguese said: "The ref was poor, very very poor and it reflected in the result.
"I spoke to him at the end and I was very aggressive to him. I don't care if he's OK or not.
Continue reading the main story £30,000 - Man Utd manager Sir Alex Ferguson, Mar 2011£12,000 - Chelsea manager Andre Villas-Boas, Nov 2011£10,000 - Stoke manager Tony Pulis, Nov 2011£9,500 - Blackpool manager Ian Holloway, Oct 2010£8,000 - Arsenal manager Arsene Wenger, Sept 2010
"Everyone can have a bad day, but this was not a bad day for us. It was a good day for us and a bad day for the referee.
"Three of the games played by Chelsea were influenced by the referee, and this is not Premier League level.
"Conspiracy theories can lead to bans and lead to you calling us cry babies and we're not, but it keeps happening."
Villas-Boas, 34, elected not to plead his case in front of the regulatory commission.