Saturday League: Cup reports - Pier smash 11 at Great Ayton while Edgehill ease past Leyburn
Logan smashed in Pier's first before goals from Tommy Barker, Sean Exley, Gaz Thomas, Will Jenkinson and an own goal handed them a 6-1 lead at the break.
Five second-half goals put a gloss on Pier's dominance and confirmed their place in the draw for the next round of the competition.
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Hide AdEdgehill also moved into the next round after a dominant 6-1 win at Leyburn United.
Hat-tricks from Luke Jenkinson and Dean Craig handed Steve Clegg's side the win, with Kurtis Henderson the man of the match.
Westover grabbed a 4-3 win at Richmond Town Reserves to progress.
Travis Wood put Wasps 1-0 up, but Richmond led 2-1 at the break after battling back.
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Hide AdMan of the match Chris Hannam smashed into the top corner to level matters up again, only for Town to go ahead at 3-2.
Wasps rallied and Wood fired in a free-kick to level up again before star man Hannam played a one-two with Wood before smashing in the winner.
Boss Jamie Heritage said: "Everyone played their part, I'm proud of all of them."
Two goals from top-scorer Rob Speight couldn't prevent Scalby losing 6-2 at Colburn Town.
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Hide AdDuchess failed to raise a side for their game at York St John University.
Whitby Fishermen were made to work hard for their 6-4 win at Filey Town Reserves in the League Cup.
Fishermen led 2-0 after Paul Tose's header and a strike from Karl Storr, but Town battled back and halved their deficit just before the break.
The away side's dominance continued after the interval, Lewis Peel firing them 3-1 up before Storr grabbed his second to make it 4-1 and seemingly kill the cup tie off.
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Hide AdBack came Town though and the Fishermen took their foot off the gas, allowing the home side to battle back to 4-4 in an amazing turnaround.
Fishermen weren't to be denied though and Peel grabbed his second to make it 5-4 before Storr wrapped up his hat-trick to round things off at 6-4.
Stand-in boss Mark Storr handed hat-trick hero Karl Storr the man of the match honours, but also praised 16-year-old midfielder Elliott Anderson after another impressive display.
Goalsports Reserves fell to a 5-3 defeat at home to Kingston Hull in the East Riding County FA Qualifying Cup.
Two goals from Mike Beeby and an own goal wasn't enough for Andy Thorpe's side.