Backed by a noisy following at Newman Collard, Mark Glazier's side got off to a shaky start when Henry Braggington headed the visitors ahead with just three minutes on the clock, before Evans levelled midway through the half, finding the corner from close range.
ANDOVER TOWN - GMMS - PROGRAMME DOWNLOAD
Theo Glazier popped up with a rifle from just inside the box to put the Blues in front before the break in some style.
GALLERY: LISS ATHLETIC 5 ANDOVER TOWN 1
Evans capitalised on a defensive lapse to bundle home a third for Liss, before captain, Elliot Harrison acrobatically fired home a fourth to put the tie beyond Andover.
There was still time for substitute, Ralph Anelay to find the corner and add gloss to the 5-1 final score.
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Liss will face Denmead in the final at AFC Portchester's OnSite Group Stadium on Saturday, May 10 (11am k.o).
A return to Hampshire Premier League action is up next for the side on Saturday (April 5), with Stockbridge the visitors to Newman Collard (3pm).
Photo: Diane Chaplin from match sponsors, All Align, is pictured with the celebrating Liss squad after presenting Elliot Harrison with the Player of the Match award.