A debut goal for Spanish striker Guillem Bauza and&nbsp;a 94th minute effort from Chris Shephard put the Grecians into Thursday's draw for the Carling Cup Second Round.
Not since 25th August 1993, three days before the architect of Shephard's goal Tom Nichols was born, have after City tasted victory at this stage of the competition.
And in an impressive display the Grecians never really looked in danger of extending their drought to 19 years against a new-look Yeovil side.
Daniel Nardiello's injury meant Richard Logan was in from the start but otherwise it was as you were just three days after the 0-0 draw at Stevenage.
Much of the pre-match talk surrounded City's forwards with Nardiello and John O'Flynn already on the sidelines but the home side's first real attack came from an unlikely source in Steve Tully. City's number two went on a mazy run down the right hand side but his effort was deflected for a corner.
Shephard, handed his first start at Stevenage on Saturday, then rolled a free kick into the arms of Yeovil keeper Jed Steer and at the other end Andy Williams, one of the Glovers' form players during pre-season, fired wide when well placed with a first time right foot effort infront of the Big Bank.
Then on 20 minutes Logan had a fantastic chance to open the scoring with what proved to be his last action of the night. James Dunne swung in an inviting right-footed cross and in came Logie at the back post but his first time shot went just wide.
That would be the final action of the night for City's number 20 who limped off to add another twist to Tisdale striker soap opera. On came Bauza in his place for his City debut, an occasion&nbsp;the City boss&nbsp;had planned for the final 25 minutes not 20 minutes in as the Spaniard had trained properly yesterday for the first time in three weeks.
But he showed little signs of rustiness on his first appearance in a red and white shirt. Just five minutes after his introduction Bauza fired an effort over the bar after a lovely piece of play typical of City this evening - a sharp and incisive passing move that moved from front to back across the lovely new pitch.
Then on the half hour mark he came inches away from giving his new side the lead when his low effort on the turn&nbsp;thumped back off the post and into play with the despairing figure of Norwich loanee Steer beaten.
The fact that the Grecians had 60% of the possession this evening is of little surprise as City were passing extremely well, at a good tempo and controlled the game for large spells. And they kept the ball for a long&nbsp;period before the interval but could only carve out one real chance, a header from Bignall that went wide.
The powerful and pacey Reading striker looked a real handful tonight and he was only denied what would have been a deserved opener by a smart Steer save. After a fine run down the right hand channel he advanced on goal and got a right-footed effort away but the Yeovil keeper did well.
Twice during the opening 10 minutes of the second half Shephard showed both&nbsp;sides of his game, much to the delight of the home support. On both occasions he showed his low centre of gravity to drop his shoulder and weave past his marker, the sort of moment that gets fans off their seats. But then, when the move broke down, he chased and harried to make sure Yeovil were dispossessed.
It was his long time team-mate Liam Sercombe who had the next chance though, after a corner was moved into his path the 21-year-old thumped an effort wide.
The Grecians continued to shine with sponsors' man of the match Bignall proving to be a real threat on the counter as Terry Skiverton's side moved forward. And in fact on 57 minutes the Yeovil attack had two big chances to take the lead, first Andy Williams rustled the side netting before a back post goal-bound header from defender Paul Huntington was somehow kept out on the line by some impressive acrobatics from Troy.
City would race up the other end though and have a fantastic opportunity of their own; Bauza firing a low shot across goal from the angle on the left-hand flank.
His radar may have been off on that occasion but just a minute later he was celebrating with his family in the Flybe after a dream start to his City career. Bignall bulldozed his way towards goal and just before being upended by a pair of Yeovil defenders the youngster had the wherewithal to knock the ball into Bauza's path. Our new number 21 composed himself before firing a left-footed shot low across goal into the bottom corner.
The energetic City forward line then came very close to scoring a fantastic second, Dunne&nbsp;embarked on&nbsp;another of his lung-busting runs down the right hand side and squared the ball for Shephard whose left-footed volley flew just wide of the near post.
Bauza's work was done and the summer signing left the pitch to be replaced by another debutant, and tonight's programme cover star, Callum McNish.
Once again Dunne's perseverance earned City an opening shortly afterwards that Sercombe really should have taken. The former Arsenal man managed to get to the ball before Steer and pulled a pass across goal for his team-mate who blasted it into the Bank rather than the back of the net.
Bignall, by now running on empty after an all-action display, was withdrawn for Tom Nichols. The 17-year-old striker was making his second appearance for the club after featuring at Hillsborough.
The age of this youthful City side was continuing to fall with every change, by now the average age of the XI was 22 and two children of the 1990s, and products of the youth system, combined for the second deep into added time. Nichols was freed by a long Richard Duffy clearance and the youngster composed himself before having the vision to pick out Shephard at the back post&nbsp;to confirm&nbsp;City were in the hat for Round Two.
Keep an eye out for the Carling Cup Second Round draw on Thursday night, the tie to be played the week commencing the 22nd August.
Ant Moxey's match report will return this Saturday for the visit of the MK Dons.