"For the fourth official, he is a young referee and maybe he has to calm down a little bit. He is too young," added Benitez.
Liverpool felt they should have had a penalty when substitute Voronin went down following a shoulder challenge by Assou-Ekotto late in the second half at White Hart Lane.
Minutes later, Yossi Benayoun's right-wing cross struck the arm of Assou-Ekotto but the referee felt it was ball to hand and waved away further appeals.
Liverpool had already been awarded one penalty earlier in the match when Glenn Johnson was upended by keeper Heurelho Gomes and Steven Gerrard converted to cancel out Assou-Ekotto's 44th-minute strike.
Benitez suggested that official Dowd was swayed not to give Liverpool another spot-kick by his awarding of one already in the match.
"With this referee, I knew this [another penalty] was impossible," he stated.
Tottenham deserved win - Redknapp
Tottenham manager Harry Redknapp rejected the claims of a penalty against Assou-Ekotto and said: "I did not think Liverpool's shout for a second penalty was right as Assou-Ekotto has just eased Voronin off the ball.
"It is the kind of bread-and-butter stuff that defenders do week in, week out. The ball was also running away from Voronin."
Redknapp chose to focus primarily on his side's victory, provided by Sebastien Bassong's headed goal on his debut only moments after Liverpool had equalised.
"We frustrated Liverpool, forcing them to knock the ball long, and our two centre-halves could just head the ball away," commented Redknapp.
"It was a good performance but now we need to go to Hull on Wednesday and do it all again."
But despite the win, Spurs boss did admit that he was looking to further strengthen his squad before the transfer window closes on 1 September.
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