Looking at Rachel Cunliffe's article in the New Statesman (read on BlueSky) I don't think Badenoch lied -
"Starmer, in the politest tone possible, reminded the House that the Conservative leader never raised the issues of rape gangs when she was children’s minister or minister of women and equalities. “It’s only in recent days she’s jumped on the bandwagon,” he noted, inviting her to correct him if she had in fact raised it while in government. She did not. Badenoch tried to pivot to the work she has done on the Tavistock scandal about gender-questioning children, but it was an awkward deflection and sparked howls and jeers in the chamber. Later, Starmer referred to “her recently acquired view that it’s a scandal, having spent a lot of time on social media over Christmas”.
It's a good, measured article.
bsky.app/profile/rmcunliffe.bsky.social/post/3lfafbzg5c22u