Liverpool's new owners, John W Henry and Tom Werner, were at Goodison Park to see Tim Cahill and Mikel Arteta score in the 34th and 50th minutes, condemning Liverpool to their fourth defeat from eight games this season.
Fernando Torres went closest for the visitors when his first-half header was turned over the bar by Everton keeper Tim Howard but Liverpool offered little else in another poor display.
They slipped one place in the table on goal difference, level on six points with Wolverhampton Wanderers and bottom-placed West Ham United.
Henry's New England Sports Ventures, owners of the Boston Red Sox, completed a takeover of the Premier League club on Friday after legal battles with the previous American owners, Tom Hicks and George Gillett. (yahoo)