Juanita Hickey, also known as Jay Rose, said she it was a fitting way to "celebrate a loss of loves ones" and was not concerned about people's opinions of her actions.
Glen and Craig Mcallister died after the car hit police spikes, crashed into a tree and went up in a "huge ball of fire" on January 13.
Craig was 13 and Glen had turned 16 two days earlier.
Brooklyn Taylor (13) was also killed.
Last week the Herald revealed that the young brothers were the nephews of Glen Mcallister, a skinhead who went on a murder-suicide rampage in Cathedral Square in 1989.
He spoke to the Herald about his sons' death, asking people not to judge them for their - or their father and uncle's - actions.
Yesterday Hickey posted a video of herself doing a burnout - when a driver keeps a vehicle stationary and spins its wheels causing the tires to heat up and smoke from friction - on Facebook.
"Mum did this for you two," she wrote alongside the video.
"The average chicky don't burnout like that haha bet u boys loved it."
She then posted a photograph of tyre rubber that had been left on the road in her wake.
Today she responded to reaction about the video.
"Oh I'm such a terrible mum," she wrote, posting emojis of a laughing face.
"Might not be other people's way of honouring their loved ones, however it was our way.
"There is no right or wrong in how we grieve or celebrate a loss of loved ones so all the judgmental people, walk in my shoes before you act perfect.
"I'm as solid as they come.
"My boys, it would have been your style so meh to the haters."
Hickey had earlier publicly lambasted her sons' father for speaking to the Herald.
"Good one, way to paint a bad bad picture of my boys," she posted.
"They weren't criminals, they weren't rotten apples. They were loving, caring, charming beautiful boys with hearts of gold.
"They loved their momma and took pride in trying to look after me.
"My boys were exceptional young men who in a split second made a poor decision. They may have made a silly decision however that does not make them bad people.
"If anyone would like to debate this, come see me. I could do with a stress release."
Craig Mcallister had earlier echoed Hickey's comments about the teenager being "good boys".
He conceded they had been involved in police pursuits and had stolen cars in the past but said they were "just boys doing what boys do".
"They were just kids," he said.
It is understood the bodies of the three teens were returned to their families late last week.
The Mcallister brothers were farewelled at a tangi after lying at their home for several days.
Friends and family were invited to say their goodbyes - by invite only - and write messages on their coffins.
Police are still investigating the crash.
