The Chiefs conceded and were denied tries on the basis of two dubious video referee decisions.
Rennie says there's no way every forward pass will be seen, but it's unacceptable when they get multiple looks at an incident and get it wrong.
Chiefs coach Dave Rennie has criticised the third match official (TMO) saying that poor decisions could easily have cost his team the match.
Rennnie Chiefs held on in Melbourne to beat the Rebels 33-39 as the hosts mounted a late surged that could have won them the match.
Super Rugby winning coach Rennie has questioned Australian TMO Steve Leszczynski denied fullback Gareth Anscombe a try in the closing minutes which would have put his team almost out of reach.
The TMO ruled that Chiefs replacement winger Patrick Osbourne had knocked on at a preceeding ruck before Anscombe got the ball and ran on to score what would have been his fourth try of the match.
The television replays were inconclusive which frustrated Rennie particularly as Leszczynski had cleared a try for the Rebels after a suspect pass from first five-eighth James O'Connor to fullback Kurtley Beale.
"I think the quality of the person sitting in the chair's important and you have a feel for the game and they need to have some common sense around some of their decisions," Rennie told Radio Sport.
"It feels like they're trying to work out how they can not give that try as opposed to the other way around."
Rennie said that he will ask Sanzar game manager Lyndon Bray, a former referee, for explantions on the TMO rulings.
"I struggled to see faults with Gareth's last try and there were a couple of other dodgy decisions earlier on."
"Our issues are ours. We've got a few things to sort out from a playing point of view but they (TMO decisions) could have such a massive bearing on the game."
