Cyprus is not recognised by Turkey as a country which represents the whole island. It is believed there is two different country and not possible for South to represent itself as "Cyprus" because it is South Cyprus only.
For this reason it is not possible for you to enter Turkey with such a bike registered to CY.
I don't know where are you going to embark from to Turkey, if it is from Greek side, I think you can try yur chance by saying coming from Greece.
Anyhow to be certain I don't recommend you to try it, especially nowadays the tension is going to be a little higher.
"where the traveller goes, nobody knows ! "