Preheat oven to 400F. Line a baking sheet with parchment paper or a silicone baking mat.
Meanwhile, cook farro to al-dente according to package instructions. Then, drain and add to the prepared baking sheet. Spray with a bit of cooking spray (or about 1 tsp of olive oil) and season with salt. Toss to coat, and then spread out on the pan - make sure to leave room for the pecans, which we will add later.
Transfer the baking sheet to the oven and let the farro cook for 10 minutes. Then, add the pecans to the remaining space on the baking sheet, spray with cooking spray (or about 1 tsp of olive oil) and season with salt. Toss to coat and then spread out so they aren't overlapping.
Return the baking sheet to the oven and let cook for another 5 minutes, until the farro is crispy and the pecans are lightly toasted. Let cool for several minutes. You can also chop up the pecans at this point if you prefer smaller chunks!
While the farro and pecans are baking, prepare the citrus vinaigrette by adding all of the ingredients to a small bowl or jar. Stir, or shake until combined and emulsified.
To a large salad bowl, add the arugula and radicchio. Pour the orange vinaigrette over top and toss to combine. Then, add crispy farro, orange slices, pecans and crumbled goat cheese. Enjoy!