You do it in stages.
Sand with low grit first, then increase grit. 6000 is a good final grit for plastic.
500, 1000, 2000, 4000, 6000.
Then use a buffing wheel with a plastic polish and for a gloss finish use an acrylic clear coat.
The 4000 and 6000 grit will seem to do almost nothing but they significant in removing the matte look. Thy also take the longest as you will use them about twice as long as the other grit but with far less pressure.