In a medium pot (approximately 2½ to 3 quarts), melt the butter over medium heat.
Add the orzo and white rice once the butter has melted and foamed. Sauté until faintly browned in places, about 5 minutes. To keep it from turning too brown on one side, stir it around regularly.
To the rice, add the chicken stock, black pepper, and chopped dried onion.
Add the chicken base next, and mix thoroughly until it dissolves.
Turn the heat up to high and boil the soup, which should take two to three minutes.
Reduce the heat to medium and simmer until the liquid is nearly completely evaporated and the rice-orzo mixture starts to separate on the surface (approximately 10 minutes). Just to make sure the orzo/rice does not adhere to the pan's bottom, stir once in a while.
Once the orzo and rice are cooked, reduce the heat to low, cover the pot, and simmer the chicken-flavored rice for about 20 minutes. Only once, around halfway through cooking, should you stir.
When the rice is cooked, open the pan and fluff the rice with a fork to release the steam.
If necessary, add salt after tasting the rice. We added a little extra to ours as a point of reference.
Serve and enjoy with a garnish of chopped parsley, if preferred.