Preheat the oven to 375°. Prepare full-size muffin tins with 18 liners.
In a large bowl, whisk together the white sugar with the lemon zest.
Pour in the softened butter, yogurt, and eggs. Whisk until smooth.
Add the flour, baking powder, baking soda and salt. Gently fold everything together until there are no more streaks of flour.
Use a large spoon or an ice cream scooper to scoop the batter into the muffin liners until almost full to the top.
Bake the muffins for 22-25 minutes. Remove from the oven.
Next, brush lemon curd on top of each muffin top while they are warm (you will only use a portion of the lemon curd). Allow the muffins to cool completely on a wire cooling rack for 15 minutes, then remove from the pan.
Fill the muffins:
Place remaining lemon curd into a pastry bag with a small round tip or in a squeeze bottle.
Take a toothpick or a wooden skewer to create a hole in each muffin, poking the hole about halfway down. Insert the tip and lightly squeeze the lemon curd into each muffin. Repeat the process into each muffin.