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Police said the pair were pulled over while officers were patrolling back roads near the border.
They were found with more than $100,000 in cash and "a car boot full" of KFC.
"Officers noticed a suspicious looking vehicle travelling on a gravel road, and upon seeing the police car the vehicle did a U-turn, and sped off, trying to evade police," a statement said.
When the car did pull over, officers found they had come from Hamilton and were trying to get into Auckland.
The vehicle was searched, and empty ounce bags were also found, alongside the stack of takeaways.
The men, aged 23 and 30, have been issued a court summons for breaching the Health Order. Police said further charges were likely.
In another incident, a man was stopped near the border, and said he needed to cross to charge his car at an electric vehicle charging point.
However, police found the charging point did not exist and the man was sent back.
Police said they were patrolling backroads and would continue to question travellers going through checkpoints.
"Enforcement action will be considered for people deliberately attempting to breach the restrictions."