To answer your direct question, that Rogowski coil would require an integrator. You can use the Emporia Rogowski coil with IoTaWatt. They come in a set of two with an integrator and power supply.
That said, it looks to me as though the panel you show combines the 2xL1 and 2xL2 lines into single lines coming out of the 4 pole mains CT. You could probably get 200A CTs onto those.
Above you appear to have added a solar inverter. Not clear if you added 2x100A inverters or a single 100A inverter with doubled L1 and L2 lines.
Either way you should be able to put 100A CTs on those lines or 50A if they are 10mm or less in diameter and it is only 1 100A inverter.
When the lines are doubled, the current is divided between the two but not always 50/50, although usually close to that.
By measuring the mains and solar, you can get the net grid usage by creating an output that subtracts the solar from the mains feed.