Tim Howard scored a freak goal to put The Toffees 1-0 up, as his clearance took a strange bounce and wind-assisted it flew over the head of visiting goalkeeper Adam Bogdan.
However, David Ngog and Gary Cahill netted for the visitors to secure a massive three points, and Moyes feels the Trotters were good value for their win.
“Bolton deserved to win. They played well enough to get the result and we didn’t,” the Scottish coach told Sky Sports.
“The conditions have played their part but both teams had to play in it and Bolton adapted better than we did,” he stated.
The American goalkeeper’s strange goal did not impress Moyes, who stated that his side did not deserve to have taken the lead at that point.
“It was a freak goal and we hadn’t deserved to be a goal up. I hoped at 1-0 we might have enough to keep it but we didn’t,” he said.
The Merseyside club’s misery was made worse by the fact that Phil Jagielka, Leon Osman and Jack Rodwell picked up knocks; the extent of the injuries are yet to be determined.
“I can’t tell you about them because I haven’t spoken to the medical team yet but we’ll assess it in the morning,” he concluded.
By Gareth McKnight