Combine first 7 ingredients in food processor. Pulse until mixture resembles small peas. Transfer to large bowl; add milk. Mix gently until just combined. Gently fold in cheese.
Roll out dough on floured surface to 3/4-inch thickness. Use 3-1/2-inch round cutter to cut out 14 circles. Remove centers of each circle using 1-inch round cutter. Discard center dough pieces. Place donuts on sheet pan covered with parchment paper or silicone mat. Bake in 350F convection oven 14 to 15 min. or until golden brown.
Combine melted butter and chives. Keep warm while biscuits are baking. Combine cracker crumbs and salt in separate bowl; set aside. (This is more than is needed for this recipe. Store remainder in airtight container at room temperature.)
Brush each donut with 1/2 Tbsp. chive butter and sprinkle with 1 tsp. cracker mixture. Serve immediately.