How are you pronouncing Irene? If the original and pretty Greek "Eye - ree - nee", then I would go for Irene Liyana .
But Irene pronounced like "Eye- reen" is quite dated/old-fashioned in the UK, so if you're pronouncing it this way, I'd go for Liyana Irene.
( Incidentally I've never heard of Liyana, do you mean Liana? That's is the more common spelling - It's a lovely, unusual name).