In a small bowl, mix the olive oil, rosemary, thyme, garlic, salt, and pepper to form a paste.
Rub the herb paste evenly over the pork tenderloin and set it aside.
Place the carrots and farro in the bottom of the slow cooker.
Pour the chicken broth over the carrots and farro.
Set the herb-coated pork on top of the vegetables and grains.
Cover and cook on low until the pork reaches an internal temperature of 145 degrees and the carrots are fork-tender.
Remove the pork, let it rest for a few minutes, then slice it.
Stir the parsley into the farro and carrot mixture before serving.
Plate the sliced pork alongside the farro and carrots.