Drain and rinse 2 cans of chickpeas, and keep them in separate bowls. Set 1 can aside — this will go into the sauce later. Place the other can into a container for your immersion blender (or small food processor).
Add 3–4 tbsp of extra virgin olive oil to the blender with the chickpeas. Blend until smooth and creamy. If it’s too thick, add 2–3 tbsp of water to help loosen it. Set the chickpea cream aside.
Quick rinse your blender, then use it to gently crush your peeled tomatoes. Set aside.
In a large pan over low heat, add 4–5 tbsp of EVOO, followed by diced carrots and onion. Stir gently and let them simmer. Add in bay leaves and a sprig of fresh rosemary. Coat everything in the oil, then cover the pot and cook for 5 minutes to infuse the flavors.
After 5 minutes, add crushed garlic and 2 tbsp of water (this stops the garlic from burning). Stir again and cover for another 5 minutes.
Remove the lid. Pull the rosemary leaves off the stem and discard the stem.
Add your crushed tomato sauce to the pot and stir. Now pour in the second bowl of chickpeas. Season with salt and pepper to taste, but don’t go overboard!
Give everything a good stir, then remove the bay leaves. Add your uncooked pasta directly into the sauce and stir vigorously to coat the pasta in flavor.
Add 1 mug of water (about 236 mL / 8 oz) and continue stirring over medium heat.
After about 5 minutes, add a second mug of water and keep stirring for another 5 minutes.
Now add in your chickpea cream — scrape the sides of the bowl to get every last bit! Stir it into the pasta and sauce mixture.
As you mix, add up to ½ a mug of water (about 118 mL / 4 oz) if needed. Don’t worry if it looks a bit runny — the pasta and chickpeas will absorb the liquid and it will thicken beautifully.
Keep stirring and cooking for 3 minutes or until the pasta is al dente — taste to check (this is the fun part).
Once it’s perfect, remove from heat and give the pot a little shake and stir to cool slightly.
Add pecorino cheese to taste and give it one final stir. (Optional, but highly recommended!)
Serve in a shallow pasta bowl, sprinkle with more pecorino, and DEVOUR!