Toffees striker Nikica Jelavic put the visitors ahead after 24 minutes, and Moyes’ side sealed victory when Sunderland midfielder David Vaughan inadvertently turned Jelavic’s shot past his own goalkeeper Simon Mignolet.
“Liverpool will be favourites,” said Moyes after the game. “They have beaten us twice this year, haven’t they? They have to go into the game as favourites, and we will go there and play.”
Moyes celebrated his 10th year in charge at Goodison Park earlier in March, and the 48-year-old is delighted to mark the landmark with a Wembley appearance in the FA Cup.
“I think anybody would think going to a semi-final would be an achievement, whether you have been there one year or 10 years,” Moyes added.
“But the thing about Everton is they have got a history of being in finals, semi-finals, winning things.
“I have not been in as many as I would like to be, but I actually think there are mitigating circumstances for that in a way.
“But Everton as a football club are used to it, it’s been there many times before and this isn’t a strange place for them.”
Meanwhile, Sunderland boss Martin O’Neill lamented a disappointing Black Cats performance, admitting the visitors deserved their place in the last four.
“Everton were better than us,” said O’Neill. “They deserved to win the game. We didn’t perform well enough – we didn’t perform at all, and that’s really disappointing.
“We were ready for the night and to see the sort of atmosphere just before kick-off, the noise level, was something we should experience more often here at the Stadium of Light.
“It was a great evening, a great night for football and we disappointed.”
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