Manager Billy Miller changed his side around and made six changes to the win at Radcliffe Borough.
Jordan Armstrong, Liam Shepherd, Fatlum Ibrahimi, Adam Baker, Conor Sellars were all handed starts plus, there was a return for Jono Greening.
And Greening almost marked his return with a goal inside sixty seconds. Conor Sellars cut back on his left-foot and curled in an inviting cross to Greening who flicked goalwards but Amateur goalkeeper Suwara Bojang reacted well to push wide.
The Brewers well and truly dominated the first fifteen minutes as the home side struggled to get a hold of the ball.
Taddy could have easily been two or three goals to the good inside the opening ten minutes as Carl Stewart and Dan Thirkell both saw their headers miss the target.
However Miller’s men did in fact take the lead after 22 minutes as captain for the night Andy Milne brilliantly controlled Josh Barrett’s flick-on before lashing past Bojang and into the back of the net.
Yorkshire Amateur did grow into the game as the first half went on but Gary Stevens never looked troubled.
It all appeared to be going swimmingly for Taddy but right on half-time they were dealt a blow as defender Andy Milne twisted his knee after a melee in the six yard box.
Milne was then replaced by Jason Mycoe at the break as Dan Thirkell dropped back into defence to partner Josh Barrett.
The NCEL Division One side began the second half with greater purpose as James Rothel and Carl Heard both came close to levelling the cup tie.
As the contest heated up, the home side came even closer to gaining a foothold as Carl Heard raced in behind but was denied superbly by Gary Stevens and then Josh Barrett.
Heard’s double denial proved to be pivotal as just three minutes later Tadcaster doubled their lead and in some style too.
Jason Mycoe’s lofted free-kick was headed towards the penalty spot by Ibrahimi and Jono Greening perfectly executed an exquisite overhead kick past Bojang in the Amateurs goal.
The celebrations were somewhat short lived though as the Leeds based outfit responded immediately. Gary Stevens did well to save the initial shot but Carl Heard turned in the rebound at the back post.
And incredibly, it was almost two a piece a mere thirty seconds later but a tremendous point blank stop from Stevens kept the Brewers in front, just.
Having said that, the cup tie was effectively over in the 74th minute as substitute Tom Corner crossed perfectly onto the head of Greening who powered in his second of the evening.
This third goal certainly dampened Yorkshire Amateur’s spirits as Taddy looked to pounce immediately.
It was almost further joy for Tadcaster and Greening two minutes later but Bojang did well to push over the midfielder’s fierce strike.
The fourth goal was inevitable and it did indeed arrive eleven minutes from time as that man Jono Greening completed his hat-trick from the penalty spot.
Greening won the penalty kick after cleverly flicking around the corner leading to the Amateur defender handling the ball.
There was no doubting who would step up to take the spot kick and there was no doubting the outcome as Greening coolly stroked into the back of the net.
Greening was revelling in the more attacking role and he almost netted a fourth for himself after audaciously touching past the committed defender but Bojang did well on this occasion.
The Brewers sealed the victory with a fifth goal right on a final whistle as Tom Corner raced down the right-hand side channel and fired low into the back of the net.
Full-Time: Yorkshire Amateur 1-5 Tadcaster Albion (West Riding County Cup)
Taddy will welcome Silsden to the i2i stadium in the next round.
Yorkshire Amateur Team: Bojang, Swales, Rothel, Lewis, Fishley, Nomanchild, Marsden, Oyebanji, Townsend, Shaw, Heard
Subs: Ibrahim, Hughes, Freeman
Tadcaster Team: Stevens, Armstrong, Shepherd, Milne © (Mycoe 45), Barrett, Thirkell, Baker (Corner 55), Ibrahimi, Jono Greening, Stewart (Grant 75), Sellars