Place the veggies in a lidded plastic container along with the salad dressing.
Seal the lid, and toss to coat, set aside.
In a smaller bowl, combine the mayo, lemon juice, lemon zest, and garlic.
Cover and refrigerate.
Preheat grill on medium high heat and grill veggies, shaking off excess dressing, for 4 minutes, then turn and grill another 4 minutes.
Remove from grill and cover with foil to keep warm.
Place frozen turkey burgers on grill and grill for 8-9 minutes, flip, and then an additional 6-8 minutes on the other side, until center reaches an internal temperature of 165 degrees Fahrenheit.
Once you've flipped the burgers, place cut rolls on grill to toast as well.
To assemble burgers, spread mayo-garlic mixture on both sides of buns, top with a turkey burger and generous amount of grilled veggies, a good sprinkle of feta, and then the top bun.