You can use a nylon cleaning brush to raise the nap on the flesh side by brusing against the natural "grain". To texture the nap or give it a worn look, use a stiff wire brush but be careful of taking too much material away at a time.
The picture you show is of chrome tan leather and uses what appears to be suede sewn on. Much different than what you want to make. So as far as dying goes, dont use regular leather dyes for the flesh side. It will tend to glue the fibers together and when you go to raise the nap, fibers will break off and you'll lose color. Instead use a suede dye to keep it soft so you can brush up the nap.
As was suggested before, practice before applying the technique to a finished project.