Peel the butternut squash and cut it into cubes. Steam until soft and then puree.
Whisk the eggs together with the sugar. Add the oil and milk and mix well. Finally, stir in the pureed squash. To this liquid mixture, add the flour with baking soda, baking powder, cinnamon sugar, and ginger. Mix to form a batter and pour half of it into a greased and floured baking pan, approximately 15×30 cm.
For the filling, mix the curd cheese with sugar, one egg, and lemon zest. Spread it into the pan and cover with the other half of the batter. Bake at 180°C for about 50 minutes. During the second half of baking, you may cover it with aluminum foil.