An exercise: imitation of wood in a plastic piece of 4x4 cms.
Mark the strips and the wood grain.
A first layer of light brown color as a primer. (oil-based color)
Second layer, very thin with the darkest brown.
From here, alternate paint, increasingly dark, with a light sanding. (paper)
The same, again.
Paint applied unevenly, to appear light-dark wood.
Final sanding pass with tissue.
Faux finished. Now you can spend some dry brush to tone of aging.
Regards, Xavier