Huddersfield's only victory in their last 11 games against Bournemouth was by 5-1 in the Championship in August 2013.
Mooy played a role in both goals, delivering the free kick Mounie met with a downward header past Asmir Begovic and later offering the square ball the Beninese striker wrong-footed past the goalkeeper.
The Premier League basement has taken on a revolving door feel with so many clubs involved in the relegation battle.
Huddersfield manager David Wagner said: "Bournemouth are a very strong opponent on a good run as well. It was a fantastic afternoon for us".
"We should look as hungry, if not hungrier than them - that's no excuse for us".
VAR has had a baptism of fire in English football with a huge amount of controversy already, Manchester United will experience it for the first time in their upcoming FA Cup clash against Huddersfield.
Mounie did brilliantly on left flank, powering past Simon Francis and cutting a pass back to Pritchard, who steered home for his first Premier League goal since joining from Norwich City in January.
Huddersfield starting XI: Lossl, Hadergjonaj, Jorgensen, Schindler, Malone, Hogg, Pritchard, Ince, Mooy, van La Parra, Mounie.
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