In a food processor use the grating blade and grate the pre-cooked beets, the courgette/zucchini and the halloumi cheese. A hand grater is perfectly fine too.
When finished, place all in a big bowl.
Remove the grater blade and place the cutting/chopping blade.
Place the roughly chopped leek and the roughly chopped into chunks the brocoli and cauliflower stalks.
Activate the food processor and chop these until they get into rice size bits.
Add to the grated veg and cheese and mix all well.
Take another bowl out and place it aside.
Take only a handful of the mix at once and squeeze (over a deep plate) until you take out all the extra juice. Place all the squeezed mix into the spare bowl. You can do this using a kitchen towel if you wish. I prefer doing it by hand as it is best to be with little to no juice at all for the best results.
Sprinkle the cayenne pepper with a generous pinch of freshly ground pepper, sesame seeds, nutmeg (if you decided to put it in) and the eggs. Mix until well incorporated. Make the burgers by taking a spoonful of the mix and flatten this in your palm.
Place a non-stick pan with a little bit of oil on medium heat and allow it to get a little hot before you add the burgers. Cook on each side for approximately 2 minutes.
You may prepare all the burgers ahead and place them on a chopping board ready to be cooked.