Kielbasa with soup

1 (10 3/4 ounce) can condensed cream of mushroom soup or 1 (10 3/4 ounce) can cheddar cheese soup, I use the cheddar cheese soup 1 large onion , sliced 1 cup[...]

2 (1 lb) kielbasa , rings, minimum 1 (14 ounce) can chicken broth 1 (14 ounce) can beef broth 1 quart milk , as needed salt and pepper, to taste cornstarch ,[...]

1 lb Polish sausage , sliced (Hillshire Farm's Polska Kielbasa or other smoked sausage) 1/2 cup butter , plus extra virgin olive oil , for pan 1 1/2 large[...]