Despite enjoying the lion's share of possession during the first half, United still trailed 2-0 at the break as Samuel Eto’o hit twice, and the home side were soon three goals to the good shortly after the restart when the Cameroonian striker bagged his hat-trick.
"I would [say we were unlucky to be 2-0 down at half-time]," said Moyes. "We were unlucky with the first goal, but the other two that were from set-pieces were our fault. It was terrible defending for the second goal and just as bad as the one just after half-time."
However, Moyes was pleased with the Reds’ high-tempo start to the game and felt that United lacked only the finishing touch to several good chances to have made it a much closer contest.
"I thought we played quite well at times, especially during the first period of the game,” Moyes said. "We had a couple of chances but we lacked that bit [extra], we just needed someone to take the chances."
A disappointing afternoon for the Reds was compounded when skipper Nemanja Vidic was sent off in injury time after a tackle on Eden Hazard. The robust Serb will now miss three matches, but Moyes felt the red card was somewhat harsh.