Native podcast app frustration

I've got a couple questions about the behavior of the podcast app - I'd like for anything marked as "played" to just completely disappear to where autoplay doesn't keep playing things I've already heard. Is there an option for this?

Also, I prefer the newer ones listed first, since I'm normally caught up and don't want to scroll through all of the old ones (if there's no way to remove them), but then they autoplay in the wrong order. Any way to fix this behavior? I've been keeping any new ones I discover sorted Oldest First until I catch up, then switching to Newest First, but this is kludgy, and I keep catching myself listening to episodes I've already heard.