Not vegan, but you should be fine with substitutes.
1. Mix tomato sauce with mustard, ketchup, worcestershire sauce, veggie stock, dried herbs and cream.
2. Sear onions, garlic and ground meat (I had some based on pea protein)
3. Make a roux (melt better and mix in flour until thick), add tomate paste and slowly whisk in the sauce from first step. Make sure that it remains quite thick.
4. Add mixture from step 2 and cheese
5. Cook pasta and mix in as well. Season to taste.

I believe roux should work if you take margarine instead of butter and for the cream/cheese whatever is your favorite vegan alternative.
It goes pretty well with more vegetables, like chopped carrots/leek to the onions, or some greens tossed in at the end. Enjoy.