Heat a small amount of fat in a large saucepan over medium heat. Add the onion and garlic, sauté for 3 minutes until softened.
Add the minced meat and cook for 6-8 minutes over medium-high heat, stirring frequently, until cooked through.
Stir in a small amount of tomato paste and cook for 1 minute. Season generously with salt and pepper.
Add the passed tomatoes, vegetable stock, and cream. Bring to a simmer over medium heat and cook for 5 minutes.
Stir in the processed cheese with herbs until completely melted and dissolved.
Season to taste with Italian herbs such as basil, oregano, and marjoram.
Add the kritharaki noodles, stir well, and cook for 8-10 minutes over medium heat, stirring occasionally, until the noodles are tender. If the mixture becomes too thick during cooking, gradually add more vegetable stock until you reach the desired consistency.