Noo, I want to know how to do it in LR and not in PS as I have.
Try the split toning function in LR. That may get you quite close - maybe a hue in the 45-50 range. Also/or some adjustment in the blue curve (select point curve>blue channel in the Tone Curve function). Once the tone looks right you can finish off with contrast, global curve, highlight, shadow, whitepoint, blackpoint to get the distribution right. Could even add some grain to finish off. Good luck and have fun!