I'm sure I don't understand how to use the new Culture and Control mechanics, but they're not something that just happens in the background without some kind of TLC.
Turn 61 and I have 1 Culture point, and that came from an an event or setting up a colony, can't remember which. It says Culture points produced by homeworld, which is the same as previous version, but seems to be broken.

Again, turn 61, I have stopped earning Control points? What happened to the Civ Capital giving 2 points per turn? And nothing from colonies? If it now needs a special improvement, shouldn't it be one of the ones you can build fairly early?

Now the one thing I did do was take advantage of destroying my Core World Capital and moving it to a better Hex. Could that be what's messing up the generation of Culture and Control points?