Wash the lime, grate dry and grate the peel thinly. Halve lime and squeeze juice. Whip the fat, sugar and lime zest in a bowl with the whisk of the hand mixer until creamy.
Stir in the eggs one by one. Then mix in half the lime juice. Mix both types of flour and stir in. Pour the dough into a greased springform pan (20 cm Ø) sprinkled with flour and bake in a preheated oven (electric cooker: 175 °C/ convection oven: 150 °C/ gas: see
manufacturer) Bake for 40-45 minutes.
For the syrup, halve the pomegranate and knock out the seeds with the back of a spoon. Collect the juice. Put the rest of the lime juice, pomegranate juice and honey in a pot. Bring to the boil and boil down for 3-5 minutes until syrupy.
Mix in the herb and pomegranate seeds.
Remove the cake from the oven, place it on a cake rack and let it cool for 5-10 minutes. Prick small holes in the cake with a wooden skewer and pour syrup over them. Let the cake cool completely.