From my previous conversations with Lyft drivers, if I recall correctly they get a sum weekly/biweekly and don't see who tipped.
I used to live in a country where tipping wasn't a thing. But having lived in the US for a while now I actually like it. It gives the servers incentive to do well. Also you always have the option to not tip if the service is really bad. I understand your frustration, though. Perhaps, I've gotten too used to it haha.