Toss zucchini and squash with salt and pepper. Put it in the microwave for 2 minutes. Alternately, you can steam or blanche.
Combine farro and 4 cup water in a pot. Bring to a boil.
Reduce to a simmer and cook, covered for about 30 -35 minutes, until all of the water has been absorbed. Let it cool for a few minutes.
In a large bowl, combine farro, chicken, zucchini/squash, roasted red peppers, corn, beans, tomatoes, parsley and red pepper. Toss to combine.
Add vinegar, olive oil and lemon juice. Mix well.
Leave to rest for at least 15 minutes before serving.
Serve chilled or at room temperature.