Phillips struck home a sweet long-ranger on 73 minutes against Town on an afternoon when five different United players found the net.
Italian defender Dario Del Fabro set United on their way with an 11th-minute opener, heading home following Chris Dawson’s corner.
Six minutes later, United - who had beaten hosts Crewe 2-1 in their previous game - doubled their lead, when Brian Montenegro rounded Joe Murphy before tucking the ball into the back of the net.
United: Grimes, Coyle, Killock, Del Fabro, Denton, Purver, Phillips, Adryan (Booker 69), Dawson, Walters, Montenegro (Parkin 64). Unused substitutes: Atkinson, Coker, Skelton.