Combine dressing ingredients in a sealable jar and shake vigorously to mix, or whisk until combined well.
Fill the bowls equally with greens. Top with brown rice, cucumber, tomatoes, onion, olives, and artichoke hearts.
Sprinkle with crumbled feta cheese and pomegranate seeds.
The bowls hold really well refrigerated in air tight containers, for 4-5 days.
When ready to serve 2-3 Tbsps dressing on top of each bowl, toss and enjoy!