Spurs ran uncontrolled on an awful night for Lampard and his players, as Everton conceded in a manner that raises serious concerns about their ability to retain Premier League membership.
After 14 minutes, Everton defender Michael Keane put Ryan Sessegnon’s cross into his own net, while goalkeeper Jordan Pickford was at fault for Son’s goal three minutes later.
Eight minutes before halftime, Matt Doherty let Harry Kane free to put the game out of reach, while Everton’s fragile dreams of a comeback were dashed when replacement Sergio Reguilon scored with his first touch at the far post seconds after the restart.
Kane added the fifth goal after 55 minutes, meeting Doherty’s beautiful cross with a clean left-footed volley.
Everton sit one point and one place above the relegation zone, with a game in hand on Burnley, who are one spot behind them.
Tottenham remains seventh, three points behind fourth-placed Arsenal for the last Champions League qualification slot.