I saw you mention no tomatoes, and you're right, it does make it a little trickier, but here are a couple of tomato free sauce recipes that are easy to make:
Basic white sauce-milk & flour basically; you can add cheese to make a cheap cheese sauce, bacon, chorizo, chicken, pepper, herbs etc whatever you fancy
Chicken and tarragon sauce-I fully love this- you can either make the hard way (chicken wings or other cheap boned chicken chopped up and fried off with onions and butter, splash of wine to deglaze the pan, chicken stock and tarragon, thicken with cornflour)
Beef onion gravy or just beef gravy (lovely with home made toad in the hole/ base for stews/ with chips
Carbonara sauce (very easy to make but also very cheap value supermarket versions)
Basil or other herb pesto sauce (juat whizz up the herbs with olive oil)
Pea puree-if you add cream/milk with a ham based pasta or risotto this is lovely
Mushroom sauce
Sweet chilli and lime jam
Other tomato free dishes
Corned beef hash
Chicken soup (with or without noodles)
Meatballs with Ikea sauce recipe (mustard/beef stock base)
Risotto
Egg fried rice
Omelette
Potato dauphinoise
Tuna pasta bake
Carrot and coriander soup