Jasmine Matthews and Olivia Smith were introduced at the half-time break and the latter had an almost-immediate impact.
Her forward pass found the run of Kapocs just seconds into the half, who in turn delivered across goal for Holland, though the resulting half-volley fell wide of the mark.
Kiernan was then forced off ahead of the hour due to injury, but it was her replacement Mia Enderby who doubled Liverpool’s advantage to put the hosts in control.
The striker sprinted in to steal the ball from the Everton defence and composed herself well to fire low into the net and give the Reds breathing room.
Kapocs continued to threaten as the Blues struggled to deal with her movement, forcing Ramsey into a strong save after breaking in one-on-one.
With a little more than 10 minutes remaining, both Neve McDonald and goalkeeper Eva Spencer were brought on from the bench for their senior debuts.
The former almost made it a dream introduction, converting a bouncing cross inside the box, but an offside flag denied her celebrations having strayed beyond the final defender.
Kapocs, however, wasn’t to be denied her goal as she finally got on the scoresheet, with Daniels feeding in the forward to dart into the area and lift the ball high into the goal emphatically.
Liverpool were in complete control and finished with a flurry of attacking football in the closing stages.
Nagano first struck the bar from distance after capitalising on a poor defensive clearance, though it was Enderby who was on hand to complete the victory with a fourth strike.
She again composed herself well inside the box to place a shot into the bottom corner and round off the win in style.
**Liverpool:** Micah (Spencer, 79), Daniels, Clark, Fisk (Matthews, 46), Silcock (Fahey, 61), Hinds, Nagano, Shaw (Smith, 46), Holland (McDonald, 77), Kiernan (Enderby, 53), Kapocs.
**Unused subs:** Laws, Bonner, Duffy.
**Next up**
Liverpool return to Barclays Women’s Super League action on Sunday afternoon when they host Arsenal.
The contest at St Helens Stadium is set for a 2.30pm GMT kick-off and is being broadcast in the UK by Sky Sports.
* [**Get the latest LFC Women ticket details here**](https://www.liverpoolfc.com/tickets/tickets-availability-lfc-women)