Everton manager Sam Allardyce described Ashley Williams as "unprofessional" after the former Swansea City defender was sent off at Burnley.
The Clarets came from behind to beat Everton 2-1 as they brought to an end a run of 11 Premier League matches without a win.
After former Besiktas striker Cenk Tosun had put the visitors in front in the 20th minute, Ashley Barnes equalised for Sean Dyche's team at Turf Moor before substitute Chris Wood took advantage of poor defending to head in an 80th-minute winner.
Williams was sent off with four minutes remaining for elbowing Barnes, and a livid Allardyce said afterwards: "We missed too many chances, that's the bottom line. And we let in two very simple goals. The first one is a simple ball, Ashley Williams and Michael Keane should deal with that easily.
"No complaints with the red card, you can't do that. It was unprofessional from Ashley Williams.
"We have taken 17 points from eight games at home but we have put huge pressure on ourselves now.
"We lost it by not scoring the second goal when we had clear, clear opportunities. At least three in the first half. That's five away defeats on the trot. It's simply not good enough.
"Ashley Williams getting sent off sums our day up. It shouldn't happen, he's swung his arm and he's an experienced player."
Everton are 5/4 to beat Brighton on 10th March and 9/4 to draw 1-1 with the Seagulls at Goodison Park.
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