Sir Keir shrugged off her attack, saying July’s election – where Labour won 411 Commons seats and 9.7m votes – had been a “massive petition” in itself.
The petition, started by a West Midlands publican who voted Conservative at July’s general election, accuses Labour of reneging on its pre-election promises.
It was set up last week and has since been promoted by Reform UK leader Nigel Farage and tech billionaire Elon Musk.
The Petitions Committee – which was set up in 2015 to review petitions on Parliament’s website – has confirmed it will be debated on Monday 6 January.
The debate will be opened by Lib Dem MP Jamie Stone, who chairs the committee, and the government will send a minister to respond.
Nothing else will happen after the debate, although the government will have to issue a written response because it received over 10,000 signatures.
The petition offered Badenoch a way to attack the government at Prime Minister’s Questions, as she faced off with Sir Keir for only the third time since becoming Tory leader earlier this month.
She added that rises to employers’ National Insurance (NI) at last month’s Budget had prompted calls from business that they would have to cut jobs.
The tax increase was not in Labour’s election manifesto, but ministers claim it is needed to fill a “black hole” in the public finances left by the previous government, and raise money for public services.
“There’s a petition out there, two million people asking him to go,” she told MPs.
“He’s the one who doesn’t know how things work. It is not government that creates growth, it is business,” she added.
