In the bowl of a stand mixer fitted with a paddle attachment, beat butter, sugars and lemon zest on medium speed until fluffy. Beat in the eggs, sour cream and vanilla until smooth, scraping down the sides of the bowl as needed.
In a large bowl, whisk together the flour and baking powder. On low speed, add the dry ingredients into the wet ingredients and beat until just combined.
Form the dough into 2 discs, wrap in plastic and chill for at least 30 minutes. (You can also freeze the dough for future use.)
Preheat oven to 350 degrees. Line a cookie sheet with parchment paper.
Using a rolling pin, roll the dough onto a well-floured surface until it reaches 1/4 inch thickness. Using a bunny cookie cutter, cut into shapes and place on prepared baking sheet.
Bake 10-12 minutes. Cookies will be pale with a slightly golden bottom. Allow cookies to cool on the baking sheet 5 minutes before removing onto a wire rack.
To Decorate the Cookies
Fill three separate bowls each with different colored sanding sugar. Pour a little bit of corn syrup into a small bowl.
Paint cooled cookies with an even layer of corn syrup. Press the painted side of the cookies into the sanding sugar to coat. Place cookies onto a flat surface to set.
Fill a piping bag with black frosting. Pipe the eyes and nose onto each bunny cookie and allow frosting to set for at least 10 minutes.