Glen Johnson’s late solo goal meant the hosts lost to the Reds for the third time in a row and left them 12 points behind Premier League leaders Manchester City.
Luiz put in another erratic performance in defence, which prompted the ex-Manchester United stopper, who now works as a pundit for Sky Sports, to mock him during the match, which he was working on as the co-commentator.
Neville said the gung-ho style in which Luiz was playing by charging around the pitch and his general characteristics makes it look to observers like the player was "being controlled by a 10-year-old playing on his Playstation”.
While insisting he had respect for Neville, Villas-Boas said he strongly disagreed with the view that his defender looked like he was being controlled by a child on a video game console.
Speaking in his post-match press conference, he said: “It is his opinion, but it is a stupid approach to an opinion.
“I respect Gary Neville but that is just ridiculous."
Luiz joined Chelsea in January from Benfica in a big-money €24.5 million switch and has gone on to make 21 appearances for the club so far.
While enjoying some good moments and clearly possessing talent with the ball at his feet, the stopper has been criticised in some quarters for being unreliable and often lunging into challenges without considering the consequences.
The 24-year-old Brazilian has 10 international caps to his name, having made his debut for the Selecao in 2010.
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