Maybe I am wrong or I have received bad information from other sites. Let me explain what the problem is: my WIFi connection works perfectly, but I have a problem with my WIRED ethernet connection: I got the error message "wired connection disconnected". It looks like my ethernet chip of my motherboard (an Asus P6T) is sont recognized by Mint.but it appears r8169 is already working at you. Note that this is your wired ethernet. Your wireless has nothing to do with r8169 vs r8168.
I have been told to follow the procedure at the begining of this topic: is the thing to do for you or do you have another idea ? if you recommend me to continue, then I will perform the "sudo make install" command that you have suggested, if not I will do not nothing unless crying because I cannot use by wired ethernet connection ! (to date I got no answer on the other forums to sove this pb).
Thank for your advice,