Pour the vegetable broth into the saucepan and add the drained chickpeas along with the tomato sauce. Stir to combine the ingredients thoroughly.
Cover the saucepan with a lid and bring the mixture to a boil over medium-high heat.
Once boiling, remove the lid and add the orzo pasta. Stir gently to prevent the pasta from sticking.
Reduce the heat to low, cover the saucepan again, and allow the soup to simmer for 6 to 10 minutes, or until the orzo is tender. Stir occasionally during cooking to ensure the pasta does not adhere to the bottom of the pot.