LIVERPOOL, England -- Everton ensured a miserable return to Goodison Park for former manager David Moyes by overwhelming Manchester United in a 2-0 win to keep pace with Arsenal in the race for Champions League qualification on Sunday. First-half goals by Leighton Baines -- from the penalty spot -- and Kevin Mirallas kept Everton one point behind fourth-place Arsenal with three games left, and guaranteed United wont be playing in Europes top competition next season. "I think everybody knows that we are on track to make changes and do some different things," Moyes said on another disappointing day in his first season in charge at United. "We are rebuilding." Languishing in seventh position, six points behind sixth-place Tottenham, United may not even qualify for the Europa League -- an indication of the deposed champions decline since winning the Premier League last year by 11 points. Moyes left Everton after 11 years to take charge of United. But while his first season at Old Trafford has been extremely disappointing, Moyes replacement at Everton -- Roberto Martinez -- has been widely praised for guiding the Merseyside team to its best haul of points in Premier League history already. Everton, which has achieved the double over United for the first time since the 1969-70 season, played much the better football here and still has a great chance to qualify for the Champions Leagues qualification round -- something Moyes achieved only once. "I thought we were devastating on the counter attack," said Martinez, who revealed that his game plan was to let United have the most of the possession. "If anything, we should have scored more." A flurry of boos greeted Moyes as he emerged from Uniteds team bus before the game and then from the tunnel prior to kickoff, with many home fans unhappy at the circumstances surrounding his departure to Old Trafford and also his attempts at poaching Baines and Marouane Fellaini from Everton over the summer. Fellaini ended up moving for 27.5 million pounds ($43 million) on deadline day in September -- he was an unused substitute here -- but Baines stayed at Everton and showed Moyes just what he is missing by having an excellent game and driving home a 28th-minute penalty to open the scoring after Phil Jones handled Romelu Lukakus shot. With Mirallas running beyond a wide-open defence to add a second from Seamus Colemans pass in the 43rd minute, it amounted to an uncomfortable first 45 minutes for Moyes, who was sat near a spectator dressed as the Grim Reaper and waving an imitation scythe in Moyes direction. The spectator was escorted out of the stands midway through the first half. The margin of defeat could have been a whole lot bigger for United, whose left side of fullback Alex Buttner and midfielder Shinji Kagawa in particular was over-run by the marauding Mirallas and Coleman. Steven Naismith wasted great chances in either half and David de Gea pushed aside a curler from Lukaku. Moyes said he "couldnt fault" how United played, adding: "We need to try and get rid of the bad things and do better with the things we should have done." Everton goalkeeper Tim Howard was called into action just twice, saving from Jonny Evans and Wayne Rooney. The frustrations of Rooney, Uniteds captain for the day against his boyhood club, were highlighted by a reckless challenge on Evertons James McCarthy that was fortunate to escape a booking. NHL Jerseys 2020 . Heck, we might just miss the BCS. Maybe? It sort of worked out this season. Top-ranked Florida State (13-0) was the only team to get through the regular season unbeaten, and the Seminoles did it in dominating fashion. 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Roma and last years runner-up Napoli are the only teams to have won all three of their opening matches this season. ' ' '