Iranians, Does Iran have influence or ambitions in Central Asia?

https://preview.redd.it/5f3qzy8wdzee1.jpg?width=1239&format=pjpg&auto=webp&s=e4f43b037032d08a0a3c0bc7721159953dfb0197

We can say that Iran is also a Central Asian country via Khorasan. Iran is a very influential country in the Middle East and has big goals, so why isn't it interested in Central Asia or even caucasus? Is it because Russia? Or is it because not enough shia population?