Eddie Howe says decisions that went against his Bournemouth team in the defeat at Liverpool were "unforgiving".
Christian Benteke scored the only goal, getting on the end of a Jordan Henderson cross that Philippe Coutinho also tried to reach despite being in an offside position.
Earlier, Bournemouth's Tommy Elphick had a header ruled out for a foul.
"You can't beat the decisions and the two big ones have cost us points," said the 37-year-old Cherries manager.
Howe said he will seek "feedback" from referee Craig Pawson and his assistants on the decisions.
"The new offside rule is a grey area," added Howe, who has seen his side lose both of their opening two matches after winning promotion to the Premier League.
"Under the new rules that is clearly offside. Our goalkeeper was affected by the player in front of him. I was very surprised that the goal was given.
"That is the clearest example of the new rule you will see. A yard-and-a-half offside and he is clearly impacting the goalkeeper.
"I didn't say a lot to the officials. They have a hard job but I will speak to them privately. I want feedback on the decisions.