I am Latvian, but my other half is Lithuanian hence I know about it. I love that cake. Every time I come to see his parents, they order a huge Šakotis. We end up taking some back to the UK too.
And it is interesting because Latvia and Lithuania are border countries (kinda brothers due to the Baltic state thing), yet we don't have this cake in Latvia. Amond Latvians it is called a Lithuanian "Christmas tree". 🙂