This is the drawing for the receptacle on the board, based on the part number you are showing (I haven't confirmed). The part number defines the family, pin count and color.
504187 - Family of connector
18 - Pin count
74 - Blue
This is the drawing for the housing(s) that mate to it. You need an 18 pin count. Any color should work. Your choices will be 5041861800, 5041861801, 5041861802, 5041861804, and 5041861806 depending on color.
This housing has no contacts. You must first crimp these contacts to the target wires. The crimped contacts come on strips, and you break them off the strip, and crimp them to the stripped end of the wire. Then insert the crimped contact into the housing. It should lock in place when oriented properly. They require AWG 26-30 wire gauge.
Digikey has at least one of the housing colors here (may have others too):
and the crimped contact here:
First of all - http://www.entery.com.tw
Receptacle on board, based on your part number. 20 pin count version:
They are not very upfront about what part number mates to this though...
So, I recommend contacting Entery (E & T) sales/support through the website to find the mating part(s). I will warn that these may be difficult to find online, but if you can get a part number, try googling it.
Hope this helps!