A spokeswoman for the company said Shake Out hoped to reposition the Browns Bay store within Auckland "at a more stable time".
Shake Out has since opened a pop up container outlet in Henderson and a permanent location in Hamilton East.
The Smales Farm store would honour vouchers or promotions previously advertised to the Browns Bay store, the company said.
Burger Fuel first launched the Shake Out burger brand in November 2018. At the time it was touted to be a cheaper alternative to the Burger Fuel burger chain but the prices at Shake Out have often been considered expensive for what is delivered.
At the time, Josef Roberts, BurgerFuel Worldwide chief executive, said Shake Out would compliment the Burger Fuel chain.
"We saw a gap in the market, as well as an opportunity within our skill set to create a new concept that could deliver simple, premium burgers at speed, without compromising on the overall customer experience," Roberts said.
Burger Fuel has since launched another food brand, Winner Winner, a casual dining fried chicken eatery, with locations in Pukekohe, Wellington and Hamilton.
Shake Out has stores in Palmerston North, Hamilton East and Auckland.