Got some sort of communication from the vendor, it seems to have been translated using Google translate, doesn't make too much sense. For what I can understand they are sending me to a website to download the driver but the whole thing is in Chinese.
Sorry I'm an old fart that has recently gotten into microcontrollers and some times my brain does not work in the way that is used to do. 
Tim, what do you mean with "the values that I expect"? How do I check those value?
I will try to do an uninstall and pay extra attention on the install process, the vendor says that you do not need drivers, it should install by itself.
Hi there.
Yes vendor say,s that one doesn't need driver, system recognize UsbAsp.. Well,
Yes, it does recognize as usbasp, BUT cannot find driver

!
I just tested, I have an open version usbasp and have installed win10 on one laptop just for testing...
I took about 10 min all to get usbasp up'nd'running. (on an absolutely clean win10)
(So do as earlier in the thread is mentioned, remove all old things)
Start here:
https://netmaxtech.com/how-to-make/install-usbasp-driver-windows-8-and-windowsFollow exactly.. and install driver ,as described.
Next:
Then I downloaded :
https://sourceforge.net/projects/avrdudegui/Fired up the GUI, selected programmer usbasp, inserted an old atmega chip clicked Read Flash,,
with a smile on my face, it worked just great !!
Cheers !
AAh,, You have found a solution, whilst I was typing...