Aside from correcting the lens distortion, the above image is the result of in-camera-shot using the Fujifilm X100F. No other post-processing. Really.
I found this free app called Fuji X Weekly Recipe that gives one access to over 100 Film Simulation Recipes for Fujifilm X cameras. I dig it that these JPEG settings allow one to get various looks straight out of camera, many based on film stocks, such as Kodachrome, Portra, Tri-X, Superia, Vista, and many more. The caveat is that you need to have a compatible Fujifilm X camera such as X100V, XT, X-pro and so on. I believe the app has been around for a year now.The above image was captured with the Fujifilm X100F using the following recipe for cross process: Film Simulation - Classic Chrome; Dynamic Range DR400; Highlight +4,;Shadow -1; Color +3; Noise Reduction -4; Sharpening +1; Chrome Effect Off; WB 7700k, -8 Red & -3 Blue; Exposure compensation -1/3 to -2/3.
I think the real key to get that color tone is to get the White Balance right. A bit cumbersome but once you plug in the settings it can be saved as a custom preset in the camera.
Although I think the greenish tone of cross processing is cool, it's a bit over the top. The image probably should look like the one below. I adjusted the White Balance and left a bit of the cross processing tone. Let me know which one you prefer.