Stir chicken broth, carrots, onions, and black pepper together in a large saucepan over medium heat; bring to a simmer, reduce heat to medium-low, and cook until the carrots are tender, about 30 minutes.
Stir cheese spread, half-and-half, beer, milk, and Worcestershire sauce into the broth; cook, stirring frequently, until the cheese spread melts completely into the mixture, 5 to 7 minutes.
Whisk flour and butter together in a small bowl; stir into the mixture in the saucepan until smooth. Bring the liquid to a simmer, reduce heat to low, and cook, stirring frequently, until the soup is thickened, about 1 hour.
Tips & Tricks
American French Onion Soup
See how to make French onion soup with a few delicious American twists.
French Onion Soup
Learn how to make this classic, comforting onion soup at home.