From what I've seen of polls, women in general seem to have thought Harris won. It doesn't seem that they appreciated his 'CEO talking to a subordinate' approach. Her "I'm speaking" reinforced that. He was somewhat condescending in my limited male opinion,
Pence talked over Harris extensively, talked over the female moderator quite a bit as well. Women (and some men) get what's going on.
And there's a lot of men (some of them here) who will, for instance, give Kavanaugh a pass for screeching "I like beer" in his confirmation hearing, and yet characterize Harris as "mean" or "angry" for doing her job as a Senator and asking tough questions that make weasels like Bill Barr squirm in their seats.
Harris walked a fine line in the debate--if a woman raises her voice she's "shrill," if she shows emotional vulnerability she's "weak." If her responses are too pointed (if she'd even once said anything like what Trump spewed in the first debate) she's "radical" and "angry."
It's easy to forget that Pence has a long career in govt., which wouldn't have happened if he couldn't act the part. He looks good because of lowered expectations. But he's a young-earther, and that pretty much disqualifies him in my book. He may not be stupid, but he's certainly delusional.