
In a large heavy bottomed pot, melt butter over medium-high heat. Add vegetables - onion, celery, carrots and garlic. Cook, stirring often until tender, about 6 to 8 minutes.
Add the shredded cooked chicken, chicken broth, evaporated milk, and can of cream of chicken and bring to a simmer. Season soup to taste with salt and pepper.
Cut the biscuits into quarters and lightly toss them in flour.
Add the floured biscuits to the soup and lightly press them under the broth. Place the lid on the pot and cook for about 8 to 10 minutes. Test one of the biscuits to ensure they have cooked through.
Once the biscuits are cooked through, serve immediately!