DAVx⁵ has been successfully tested with Daylite.

Daylite is a business productivity app made exclusively for the Mac, iPhone & iPad, by Marketcircle Inc. Daylite Server provides CalDAV and CardDAV services.

DAVx⁵ settings

Base URL: http(s)://your.server:port/
For Daylite Cloud, use

Daylite Cloud requires modern TLS encryption algorithms which are only available on Android 5 and newer.