On what condition does Harmonic components of power generated in 50/60 Hz Grid Generators depend on?
It could be the generator, but it's more likely to be the type of loads being driven. 

A simple rectifier/capacitor DC supply draws current only around the peaks of the supply voltage waveform, giving rise to a current with lots of odd harmonics, and a 'clipped sine' voltage waveform.

This type of supply was prevalent in computers, TVs etc for a long time, but is now being replace in new equipment above some power level like 300watts or so with 'power factor corrected' DC supplies. These use a programmable current boost converter to force the supply input current to be as if it was going to a resistive load. 

It's quite plausible that there are more PFC corrected supplies in the US, and more of the old type in Turkey and Lebanon.

Let me google a reference for you ... https://en.wikipedia.org/wiki/Harmonics_(electrical_power)