Crewe went ahead when Cort handled in the box and Kenny Lunt scored from the spot, but Cort's tap-in levelled it.
Miller gave the visitors the lead from the spot after Paul Ince had been brought down by Neil Sorvel's tackle.
Cort extended the lead by converting Lee Naylor's cross and Miller rounded it off thanks to Ki-Hyeon Seol's cross.
Wolves boss Glenn Hoddle:
""We've got into good areas in the last third all season and perhaps the penny's dropped that we've got to be more clinical.
"The movement's better, we look like scoring and we're a more clinical side.
"Seven goals in two away games is not a bad stat to have and we've conceded from two penalties and a free-kick so we're not conceding from open play."
Crewe: Williams, Moss (Murdock 88), Moses, McCready, Tonkin, Lunt, Sorvel, Vaughan, Steve Jones, Rivers (Platt 76), White (Higdon 45).
Subs Not Used: Tomlinson, Gary Roberts.
Goals: Lunt 11 pen.
Wolverhampton: Oakes, Kennedy, Lescott, Craddock, Naylor, Olofinjana, Ince, Andrews, Seol (Clarke 84), Miller (Cooper 73), Cort.
Subs Not Used: Jones, Bjorklund, Cameron.
Goals: Cort 13, Miller 35 pen, Cort 45, Miller 60.
Ref: N Miller (Co Durham).