In a bowl, mix 3/4 cup all-purpose flour with salt and pepper.
Dredge the chicken pieces in the seasoned flour until coated.
Heat oil in a Dutch oven over medium heat. Brown the chicken pieces in batches, then set aside.
In the same pot, sauté onions, carrots, celery, and garlic until softened.
Sprinkle remaining seasoned flour over the vegetables and stir to combine. Cook for a minute.
Pour in chicken stock, apple cider, sugar, bay leaves, and peppercorns. Bring to a simmer.
Return the browned chicken to the pot. Simmer for about 25 minutes, until chicken is cooked through.
In a separate bowl, mix flour, baking powder, and salt. In another bowl, combine milk and melted butter. Gradually add wet ingredients to dry, stirring until a dough forms.
Remove the chicken from the pot and shred it using two forks. Return the shredded chicken to the same pot. Next, drop spoonful's of dumpling dough into the simmering soup. Cover and cook for 15 minutes.
Skim off any excess fat from the surface. Stir in heavy cream, parsley, and thyme. Adjust seasoning with salt and pepper if needed.
Ladle the chicken and dumplings into bowls, garnish with additional parsley if desired, and serve hot.