Heat skillet to medium heat with 1-2 Tbsp oil. Add onions, shredded carrots, and garlic. Heat thru till softened. Add ground beef and brown. Meanwhile, bring a pot of salted water to boil and add lasagna noodles. Cook for 4 minutes. Rinse in cold water, add some olive oil to prevent noodles from sticking together.
In a bowl, add Greek white block cheese substitute, 2 eggs, 2 Tbsp shredded parmesean substitute, parsley, onion & garlic powders, Italian seasoning, salt & pepper. Mix well with hand mixer. Set aside.
Add tomato sauce jar to meat mixture. Stir to combine. Heat thru.
Preheat oven to 375. Add 1/2 cup of meat sauce mixture to a 9x13 oiled pan. Place a single layer of lasagna noodles on top of meat sauce layer. Spread egg/cheese mixture on top of noodles. Place cheddar style slices on top, then cover with more meat mixture. Repeat, layer by layer, until noodles are used up.
Top with shredded parmesean style cheese.
Bake in 375 oven for 50 minutes
Lasagna will be very hot, cool for 10 minutes before serving
