Melt butter and olive oil in large skillet over medium-high heat.
Season flour with salt and pepper.
Dredge chicken thighs in seasoned flour and place in skillet.
Brown chicken and flip to other side to brown as well.
Place browned chicken thighs in a 400 degree oven for 20-30 minutes, or until chicken is cooked all the way through.
Meanwhile in the skillet in which the chicken cooked, add garlic and cook for approx. 30 seconds.
Add broth, lemon juice, salt, and capers.
Simmer until sauce has reduced almost half.
Remove chicken from oven.
Stir into the sauce, 2 T. butter and drippings from the chicken. Add fresh herbs if desired.
Pour sauce over chicken when plating.