Preheat oven to 350 F. Line 2 9 inch greased pans with parchment papers, and grease the parchment papers as well.
Combine dry ingredients and set aside
Cream butter and sugar until fluffy then add in vanilla and lime zest. While keep beating, add in eggs and yolks, one at a time.
Add in dry mixture alternating with coconut milk, a little at a time, until combined
Fold in desiccated coconut and pour batter into prepared pans
Bake on middle rack for 30 mins or until knife inserted in center comes out clean.
Let cool for 5 minutes then take out cake off pans and cool on rack