I suspect it would be one of those Ukrainian turbofan engine as Turkey has already established a relationship with the country's gasturbine industry and already employs Ivchenko's turboprop engines for another UAV proejct,
Akıncı.
What's curious about the Göksungur project is that it uses two engines, instead of one as all other Western UCAV employs only one turbofan engine.
I am excited with this experimental aircraft with two engines. I applaud Turkey of daring to be "different" (although most likely because the country couldn't get a reliable turbofan engine with high max. thrust).