If we were talking about the first person to discover monads, Wadler clearly would not be he. Wadler was but a wee toddler barely sputtering out his first words when the term "monad" was coined. As we are talking about who introduced monads to computer science, the signs I see continue to point to Wadler. His work is, by all appearances, what caught the attention of the computer science community. "Monads for functional programming" is regularly cited as the seminal paper. They are strongly associated with Haskell. It would even appear from the previous comment that you only came to learn about Moggi because of Wadler making his introduction, which echos Moggi not being particularly influential socially.
If you have evidence to suggest that Moggi played a bigger role in introducing (not inventing) the concepts, I am definitely keen to learn about it.