The Nigerian scored the second as the Blues progressed to the quarter-finals of the competition after a 2-0 win over Middlesbrough at the Riverside on Wednesday.
Moses was delighted with the win, which sets up a mouth-watering last-eight tie with Manchester United in the next round.
"It was a great win for us," Moses told the official Chelsea website. "Right from the start we wanted to get the game out of the way.
"They were a good side, they had a few chances as well, but we managed to capitalise on the ones we had and win the game.
"In the first half both sides had chances. We had our own but weren't able to take them and we knew in the second half that if the chances came we'd have to take them. It wasn't an easy game and we're delighted to come away with the victory."
Moses has now scored six goals for Chelsea.