Darren Bent scored twice, either side of Leon Osman's opener and Leighton Baines' late penalty which secured a point for the Toffees.
But there was controversy when a Beckford shot bounced down after hitting the underside of the crossbar just seconds before Bent grabbed his second.
Moyes said: "The angle the ball came back off the bar made me think it must be close.
"It is a hard call for the referee and the linesman but I thought they would have picked up on the angle of the ball coming off the crossbar.
"It was a double whammy because within 10 seconds were 2-1 down - but that was down to us, not the referee. It was a poor decision - that is why we have been championing for goalline technology."
Source: PA
Source: PA