Preheat your oven to 400°F (200°C).
In a saucepan, heat olive oil over medium heat. Add onions and cook until translucent.
Add carrots, potatoes, and vegan chicken substitute. Cook for about 5 minutes.
Stir in flour and cook for another 2 minutes.
Gradually add vegetable broth, stirring constantly until the mixture thickens.
Add peas, salt, pepper, thyme, and rosemary. Simmer for 5 minutes.
Pour the mixture into a baking dish. Cover with the vegan pie crust.
Bake for 30-35 minutes, or until the crust is golden brown.
Let it cool for a few minutes before serving.