Best way to create PLC onctrolled conveyors? Including shuttles, turntables, etc

I would like to create a simulation of a conveyor system that is controlled by a PLC. This conveyor system includes turntables, shuttles, and lifters.

Initially I tried using the built-in conveyor models, and I can control running and speed well enough. But when it came to controlling the shuttles and turntables, getting the parts to flow between conveyors properly has eluded me. I attempted to modify the existing python scripts to make it work with the PLC, but was unsuccessful and determined that may not be the correct way to go about it.

Now I am pretty lost on where to go. Any suggestions for the best/easiest way to get PLC of these “complex” conveyors?

Thank You,
Joshua