Preheat the oven at 400 degrees Fahrenheit (200 degrees Celsius)
Grate the carrots and put in a bowl. Finely chop onion and add to carrots.
In another bowl whip the eggs and add parsley, crumbled feta, cumin, pepper and oregano.
Add egg mixture to carrots and stir well.
Add 1 tablespoon olive oil and mix.
Add breadcrumbs and stir. At this point you can put the mixture in the refrigerator and use later or proceed to the next step.
If frying, heat a medium pan, add about 1 tablespoon olive oil and on low to medium heat lightly fry the carrot patties for about 2-3 minutes on each side. The will have an uneven shape.
If baking, line a mini muffin pan with muffin liners and drop a teaspoon n each muffin cup.
You may sprinkle the top with some grated parmesan.
Bake for about 20 minutes.
Remove and let them cool for 10 minutes.
Remove muffins from pan and carefully remove wrapper.