Those are the minutes of the day’s activity on the floor. It’s not the official passage of the Resolution. Look on the very next page where an Signing of a Bill by the Speaker is recorded. That’s what’s missing in the Articles of Impeachment. They’re not yet “recorded”. At this point, they are just an “In House” resolution, not passed beyond the walls of the House, and because they are completely partisan, they could be merely called an “open partisan caucus” vote, were it not for the “Nay” votes by the Republicans recorded.
That page doesn't address "recording" but "reporting" and "signing". The existing entries in the Congressional Record show the text of the articles, their passage, and the finalization of the vote. That's enough for Mitch to run with - and if Mad Nan doesn't like it, let her take it to court. I don't think in this day and age "but I didn't sign it" will get far with a Court whose precedent on impeachment is deference to the legislature.