Threads about the correct use of English tend to be extremely long,with plenty of conflicting views. For what it's worth, here's how I see it:
If you're writing an academic article the first part, "According to (Kouzes and Posner, 1995)", should be replaced with "Kouzes and Posner stated that . . .", together with a numbered footnote reading:
"Kouzes, J. M., and Posner, B. Z., Credibility: How Leaders Gain and Lose It, Why People Demand It. San Francisco: Jossey-Bass, 1993"
'That', in the second line should ideally be replaced by 'which'.
I'm happy with the double speech marks but, unless Kouzes and Posner deliberately chose to use a capital letter for 'Way', I can't see why it's there.
There needs to be a comma after the speech marks.
I assume that 'be' is a typo and should read 'to'.
OK, let the arguments begin!
;-)