Marc Bridge-Wilkinson’s side had already seen Oakley Cannonier go close and Tom Hill hit a post before they established a lead on the half-hour.
Harvey Blair netted the first of an eventual brace as he finished off a neat Reds move down the right flank from inside the box.
The hosts’ second came shortly after the hour mark and again it was Blair, whose driving run into the Huddersfield area was ended at the cost of a penalty, which he dispatched himself.
And a fine gloss was added to the scoreline as Liverpool struck three times more in the final 10 minutes.