Hi,
I believe it is half in Azeri and half in Uzbek. The Turkish spoken in Turkey, where I am from, is closest to Azeri. Unfortunately, I was able to understand only a few bits:

ölerem sensiz: I die without you
bana naz etme: don't be coy with me (coy here meaning "flirtatiously shy")

In the title, baba means father in Turkish but the "shiki shiki" part is meaningless, at least in Turkish.
Oyna means dance (imperative: Dance.) but "liki liki" is also probably meaningless.

I am familiar with a Turkish version back from the 1980s, link below:
https://www.youtube.com/watch?v=RGFgqYcsFuU

In the Turkish version half the lyrics are meaningless and the rest is about love: the singer is talking to the girl he is in love with, says that he loves no one else and that he wants to be with her, etc.

I understand there are other versions but I have no idea which might be the original one or what the original song is about. Here is a link to yet another version:
https://www.youtube.com/watch?v=KdB9dwj4jHk

By the way, this song was used in a really funny Turkish movie also from the 1980s and the poster shown in the Turkish video is from that movie. Here is a link to a scene where the actors are pretending to be in a shuttle bus (dolmuş in Turkish) and the "driver" sings the song, well, part of it...
https://www.youtube.com/watch?v=5Vl2Mdjltlg

I hope this helps.

Yes, it is a funny, happy song, meant only to entertain - no cuss words in the Turkish version.
You are sure to have a good day listening to it!
And I thank you for reminding me of it, I had not listened to it in a long time.
Wish you a nice day, jeans&sneakers!