Everton booked their place in the semi-finals of the Capital One Cup with a 2-0 win over Middlesbrough.
Everton were handed a tricky tie against the Championship side in the quarter-finals of the League Cup.
With the Riverside rocking, it would have been easy for Everton’s young players to become overawed by the situation.
However, the Toffees dealt with the atmosphere well and looked fully assured on their way to a 2-0 victory over Aitor Karanka’s side.
And Barry said: “The most pleasing thing was how we managed the game. We wanted to show our authority and credit to the boys up top as they are producing the goals.
“They are producing magic from nowhere and if you are going to be successful, you are going to need that.”
Everton did their damage in the fixture in the first half an hour, and then showed their class to thwart Middlesbrough’s threat in the second half.
The Toffees netted through Gerard Deulofeu and Romelu Lukaku, and their victory has booked their place in the final four of the League Cup, as they look to win their first trophy for 20 years.
Everton will find out who they face in the semi-finals of the Capital One Cup when the draw is made after Liverpool’s match against Southampton on Wednesday evening.
Manchester City and Stoke City are the other two clubs to have made it through to this stage.