Liss were put into bat and lost early wickets with Pleace and Hannam both dismissed without a run being scored.
At 0-2 the home side needed to rebuild. Cowell joined Austin and the pair got the scoreboard moving.
Cowell hit plenty of boundaries, while Austin played the anchor roll and rotated the strike. The pair put on 45 before Cowell was caught for 29. Liss lost another wicket with the score on 78, but Austin brought up his half-century. Blanks then fell for a valuable 33 and Austin was dismissed for 85.
Moore and Allcock scored quickly and the pair took Liss past 200 with five overs remaining with a series of big shots before Allcock was bowled for 24 and Moore was dismissed for an impressive 48 as Liss finished on 243-9.
The visitors made an explosive start to their innings and were going at seven an over before Moore trapped Parsons leg before wicket and Hurle was caught for 34 off the bowling of Blanks.
Blanks and Moore soon picked up their second wickets to leave the visitors 55-4.
A change in bowling saw Dillon-Thistleton come into the attack and pick up a wicket in his first over, and Blanks took a third wicket to leave Michelmersh on 71-6.
Charles replaced Blanks and took a wicket in his second over. Dillon-Thistleton dismissed the remaining batsmen and the visitors were bowled out for 92 as Liss claimed a 151-run win.