Everton let two more goals go and slumped to a fourth straight defeat at the start of the season, with John Duran coming off the Aston Villa bench to hit a stunning winner.
The Blues were on their way to a first Premier League win at Villa Park in 8½ years when goals from Dwight McNeil and Dominic Calvert-Lewin took a 2-0 lead inside half an hour.
But their glaring defensive shortcomings, exacerbated by the loss of Vitali Mykolenko in the first half, and suspect leadership were cruelly exposed for the second consecutive game as Ollie Watkins erased their earlier lead and Duran grabbed the headlines with a ‘world champion’ strike. from a distance.
Meanwhile, Calvert-Lewin squandered some outstanding chances to earn his side something of a contest.
Watkins could have scored a hat-trick soon after when John McGinn dissected the Everton defense with a pass and Rogers set it up looking for a shot but it eluded his leg as he slipped.
Belatedly, Dyche may have moved into the back five, bringing on Jake O’Brien and Orel Managa for their debuts and withdrawing Harrison and Idriss Gueye, but the pattern continued, with Ian Maatsen, Villa’s back man, enjoying the space on the left sides and cross. Watkins somehow missed the mark this time, but Duran had the decisive word soon after.
Picking the ball up 30 yards from goal, the danger initially appeared minimal before the reserve fired a wickedly curled shot that curled into the top corner, Pickford well beaten.
Still, Calvert-Lewin might have salvaged a point when he did the heavy lifting, collecting another fine ball and racing past the last man, only to be beaten by Martinez, who fired over the bar.
Like their winners two weeks ago, the Cherries, Everton now boast an undesirable Premier League record, having lost 2-0 leads in back-to-back games and remain rooted to the bottom of the table.
Afterwards, Dyche blamed the fact that his side had fallen on the wrong side of the difference, but the manager faces a crucial run of winnable games to try and get some points on the board.