If you want a lot of sauce, you'll need a lot of plants. For example, I think last year I cooked down 2 gallon bags full of tomatoes, and only got 5 pint jars of sauce. Tomatoes are mostly water, so when you cook them down you're left with a lot less than you think you'd have.
However, San Marzanos (the only actual "sauce" tomato I grew last year) only made up about 1/12 of the tomatoes I used for the sauce. I mostly grow slicers and cherry tomatoes. Maybe I would have had a better conversion if I used more of those thicker, saucier types instead of juicy ones in my batch of sauce.
Anyway, I usually grow about 25 tomato plants per year. I never take measurements, but by the time the main harvesting season comes around, I'm picking probably 2 bowls of tomatoes or more a day (large, tall cereal-type bowls). If you're growing your tomatoes only for the purpose of canning sauce, I think 25 plants will probably equate to a few gallons of sauce for you. This is a total guess though based on estimation in my head LOL.
I guess there's no way to know until you try it. Up the amount of plants you have this year. For example, if you think you need triple the amount of sauce you got last year, triple the amount of plants. Then next year you'll be able to make adjustments for more or less plants. Gardening is a lot of trial and error as you likely know. I hope this was somewhat helpful. Good luck.
