LIVERPOOL, England :Two late goals boosted Manchester City's hopes of Champions League qualification as they beat Everton 2-0 to move to fourth in the Premier League on Saturday, while Aston Villa also stayed in the hunt with a thumping home defeat of Newcastle United. With Liverpool potentially sealing the title on Sunday and the relegation places looking set, the race to finish in the top five and qualify for next season's Champions League is adding some much-needed tension to the run-in.