Everton dominated their derby showdown with Liverpool but were sunk by an early own goal by the luckless Joseph Yobo and a late strike by Dirk Kuyt to drop a worrying two places to 16th, just three points clear of the relegation zone.
'It didn't feel like we were coming off the pitch as losers, but the score tells you a different story,' said the Everton manager.
'The players worked extremely hard and I felt they deserved more than what they got in the end.
Mersey boys: Moyes (left) and Benitez (right) watch their teams toil
'In big games, especially, you hope you don't make mistakes, and we could have done without contributing to their goals.
'But, apart from that, we kept Liverpool quiet for virtually the whole game and worked extremely hard to try and turn the result our way. I think the two saves by Pepe Reina from Tim Cahill and Marouane Fellaini were crucial. You could say that was a turning point.
I felt maybe our luck would change in the second half and we'd get a goal but that double-save perhaps altered it a little bit.
'Even when we went behind, there was a great reaction. There were lots of encouraging signs, but the bottom line is, they haven't helped us improve our League position.'
Top-class: Reina kept Everton at bay with several world class saves
Liverpool manager Rafa Benitez, who hopes to have star striker Fernando Torres back in the side next weekend, revealed the remarkable contribution made by Belgrade housewife Mariana Kovacevic's placenta treatment in hastening the return of Albert Riera, who set up his side's second goal.
'We were looking at him being out for maybe six weeks, but here he is playing without pain in half the time,' he said. 'We have to be happy with that.'
Benitez also praised his goalkeeper for his amazing double-stop which Moyes referred to.
'It was a great save from Pepe Reina, which was crucial also. He showed he is a top-class keeper,' said Benitez.
'To defend a lot of throw-ins, corners and free-kicks during 90 minutes against a team who are very good in the air like Everton is not easy but he helped the team and in this situation he was amazing.'
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