"We are ruthlessly obsessed in the National Party about improving outcomes for Māori, non-Māori, everybody in this country," Luxon said.
"But the way to do that is not to create two separate systems. That creates massive amounts of bureaucracy."
He added: "That's why we're against Three Waters, that's why we're against Māori Health Authority, because bureaucracy gets in the way of delivering outcomes.
"We're seeing it with this Government on literally every single topic at the moment."
Luxon said the Government had added "14,000 bureaucrats here for two billion dollars a year" to no avail.
"We want results, we want outcomes...You don't do that creating two systems and creating massive bureaucracies."
Luxon earlier said it was the Government's job to explain what co-governance meant nowadays.
And Māori Crown Relations/Te Arawhiti Minister Kelvin Davis agreed when asked if the Government should do more to educate people about the meaning of co-governance.
"It probably is the role of the Government. Those people who know and have been involved in co-governance understand that it is a very powerful tool to improve outcomes for people, in particular Māori."
Davis said many sectors of society were probably not knowledgeable about co-governance.
"We've got to make sure that people aren't ignorant of what co-governance brings and it's an important future direction for Aotearoa."
Davis said the new school history curriculum could help people better understand how Māori and other ethnicities worked together.