Preheat oven to 450 degrees Fahrenheit (232 degrees Celsius).
Set up breading station with three shallow bowls: one bowl will have breadcrumbs, the second will have flour, and the third will contain the 2 eggs, beaten.
In a separate large mixing bowl, combine the cooked mashed potatoes, shredded carrots, lamb, and curry powder. Stir with a wooden spoon until well combined.
Scoop out small balls of mixture and roll into balls. You will form 10 balls in total.
Dip one ball into the dish of flour, flattening it slightly to form a round, circular patty.
Once covered in flour, dip the patty into the dish of beaten eggs.
Once fully covered in egg, dip the patty into the dish of breadcrumbs.
Place the breadcrumb-covered patty onto a parchment-lined baking tray.
Repeat steps 5 - 8 for the nine remaining balls.
Drizzle the patties lightly with olive oil.
Bake the patties in the oven at 450 degrees F (232 degrees Celsius) for 20 minutes, flipping at the 10-minute mark.
Serve immediately.
Notes
*Nutritional information is calculated using online tools and is provided as a courtesy. The values can vary depending on which ingredients and brands are used.