Honda does not use the word "generation" when describing Goldwings. Some folks have taken to using that word though I have seen different categorizations depending on who is writing. They feel it's easier than using actual years even though there are differences from one year to another.
Honda made changes to the 2014 - 2017 transmissions. I think the 2012 -2013 are also different from the earlier ones.
Butt the 2001 -2010 may all have the same transmission.
You might want to contact a company called Justwings. They specialize in Goldwing transmissions.