Warrington dominated Trinity for nearly the full 80 minutes, posting an impressive 44-point victory.
The Wire ended a run of three consecutive Challenge Cup semi-final defeats.
Liam Finn nailed the conversion to put Wakefield ahead by six points.
A Gidley penalty saw the Wolves take a two-point lead after Scott Moore was penalized for holding onto Hughes.
Warrington started to assert their dominance after a Daryl Clark try out of dummy half.
Rhys Evans put further daylight between the sides, touching down in the corner after being picked with aplomb by Hughes.
A converted try from Gidley ensured the Wolves took a 24-6 lead into the interval.
The task facing Wakefield became even harder after David Fifita was sent to the sin-bin following a high tackle on Sandow.
The Wolves continued to be ruthless in attack, Ben Currie rounding off a length-of-the-field run from Matty Russell.
Toby King added his name to the scoresheet for after a perfectly-weighted kick from Brad Dwyer.
Warrington reached a half-century of points through Ben Westwood before Ratchford kicked the extras.
Max Jowitt gave the Wakefield fans something to cheer, crashing over through pure grit and determination 12 minutes before the end.
Then King ghosted through the Wakefield defence with ease to score his second try of the match.