I would be interested to know exactly what the difference is. @jamesstaddon says that he “found it to be very difficult” Could it be that Lightroom doesn’t natively support Sigma RAW files? (I assume they were RAW??) I also don’t really understand how local adjustments would make it more similar. Of course I don’t have access to the originals, but to me it looks like the changes needed are pretty much global. I wonder if Lightroom’s “Split-Toning” module could help with that. Or maybe even the HSL/Color module.
Just my 2¢!