Preheat oven to 375°F (190°C).
In a large bowl, combine the chicken, vegetables, cream of chicken soup, and chicken broth. Mix well.
Pour the mixture into a 9x13 inch baking dish.
In a separate bowl, whisk together the flour, baking powder, and salt.
Cut in the shortening using a pastry blender or your fingers until the mixture resembles coarse crumbs.
Stir in the milk until just combined.
Drop spoonfuls of the biscuit dough over the chicken mixture.
Bake for 35-40 minutes, or until the biscuits are golden brown and the filling is bubbly.