My 11 Pro connects just fine to my new 2020 Tundra. Everything works. Maps, music, Spotify, etc. PHONE CALLS, however, DO NOT WORK! The call is made (or answered) but the calls become choppy and CarPlay doesn't register the "time of call" until I hang up. The only workaround for now is to literally pull the plug if a call comes in or I need to make a call, and then Bluetooth takes over and it's fine. I shouldn't have to be unplugging and plugging the phone over & over, though.
Btw I plugged in my wife's iPhone 8+ and it worked just fine. I'm kind of wishing I'd have kept my 8+ instead of opting for the $300 credit from Apple for the trade in.
I also tried almost every suggestion on here. No luck. Running 13.2.