Babur is yum, only had a takeaway from there recently. I'm a carnivore but if you want some of my fave vegan Sri Lankan recipes, beetroot curry, kale mallung and pol roti are delicious and easy to make.
Some links for you:
https://www.theflavorbender.com/sri-lankan-beetroot-curry/
https://www.theflavorbender.com/sri-lankan-pol-roti-coconut-roti/
https://blog.fatfreevegan.com/2011/08/kale-mallung-sri-lankan-kale-with-coconut.html