The thing that makes the second image look bright and shiny like plastic rather than matt and natural like the top image is the bright highlights and high level of contrast. This can be remedied quite simply in Photoshop by reducing the brightness and contrast of the image (Image > Adjustments > Brightness/Contrast...
), like so:

You can get finer control over this effect by using Levels, Modify Curves, Exposure, etc (all found in the Image > Adjustments
menu and/or by masking off various areas of the image for specific treatment, but the key is to eliminate the overly bright colours and try to lose the highlights.