State legislatures from five states wanted a 10 day pause from Pence so they could review the legality of the certification (long letters). (Sen. Cruz also requested a ten day review) -- Remember, Jan 6 is a date set by Congress, not the Constitution.
Pence, without the authority to do so, said no.
Pence also stopped any objections to a count when congress reconvened after the "insurrection". He essentially broke the law ---needless to add without authority.
Individual legislators did that. I'm not aware of a single state legislature which requested the delay as a body.