Preheat oven to 350F. Grease and flour a 9x13-inch baking dish, set aside.
Separate the egg yolks from the egg whites. In a medium size bowl, beat together the egg yolks and ¾ cup sugar until light, fluffy, and doubled in size. Add in the milk and rose syrup and beat until combined, if you want a pinker color go ahead and add some red food coloring.
Sift in the flour, baking powder, and salt and beat until just combined. Do not overmix! Set aside.
In a separate bowl, add the egg whites and beat until foamy and just beginning to hold shape. Gradually add in the ¼ cup of sugar until nothing remains and the egg whites form soft peaks.
Fold the egg whites into the cake batter and mix until no streaks remain, be careful not to deflate it. Transfer to the baking dish.
Bake in the preheated oven until a toothpick inserted into the center comes out clean, about 30 minutes. Pierce cake all over with a fork; let cool to room temperature.