In a medium pot, add the farro and enough water to cover by 2-inches. Bring to a boil, then reduce the heat to medium-low and simmer rapidly for 20-25 minutes, or until tender. Drain and set aside.
Heat the grill on high for at least 10 minutes, then reduce a bit to medium-high.
In a medium bowl, add chicken, 1 tablespoon olive oil, 1 teaspoon salt, smoked paprika, and pepper and toss to coat.
Place the veggies on a baking sheet. Drizzle with remaining 3 tbsp olive oil and sprinkle the remaining 1 teaspoon salt all over, making sure to get most of the oil and salt on the eggplant (this helps it get cooked all the way through and luscious). Rub around to coat.
Add chicken and veggies to the grill. Cover and grill for 3-5 minutes, or until you have nice grill marks. Flip everything, reduce the heat down to medium, and grill for 5-7 more minutes or until chicken is cooked through and veggies are tender. Transfer the eggplant and peppers to a bowl and cover with a lid for about 10 minutes (the steam will help continue to soften the peppers and cook the eggplant all the way through). Meanwhile you chop up the chicken and other veggies. Once it has steamed, chop up the eggplant and peppers.
In a high-speed blender, add all dressing ingredients and blend on high until smooth.
Add farro to a bowl along with chicken and plenty of veggies. Slather generously with the dressing and top with pickled red onions.