In the same skillet, add a little more oil or butter if needed. Pour half of the egg mixture (for one omelette) into the skillet, swirling to coat the bottom evenly. Cook for 1-2 minutes until the edges start to set.
Using a spatula, gently fold the omelette in half over the filling. Cook for 30 seconds more, then carefully slide it onto a plate. Repeat the process with the remaining egg mixture and veggies for the second omelette.
Garnish with fresh herbs if desired. Serve warm with a side of toast or fruit, and enjoy your veggie omelette!