Being the all-time second most successful Georgian club, Torpedo have been a regular member of the top division apart from three seasons in the late 2000s.

[2] Many famous Georgian football players began their career in this club, among them Revaz Dzodzuashvili, Anzor Kavazashvili, Sergo Kutivadze, Givi Nodia, Manuchar Machaidze, Murtaz Khurtsilava.

Many players from "FC Torpedo Kutaisi" were represented in the Georgia national football team, including Valeri Abramidze, Sevasti Todua, Malkhaz Asatiani, Levan Silagadze, Revaz Kemoklidze.

[3] Besides, several famous managers such as Jemal Kherkhadze, David Kipiani, Revaz Dzodzuashvili, Otar Gabelia, Vladimir Gutsaev worked at the club both as a head coach and in the staff.

[5] In the next two seasons Torpedo added two bronze medals to their tally, but a big moment came in 2016 when they won a first Cup title in 15 years.

The team eliminated four rivals, including Dinamo Tbilisi in the semifinal, and prevailed over Merani Martvili in the final stage.

[6] In 2016, FC Torpedo was sold by the local municipality at auction, won by businessman Zaal Chachava, who was declared president of the club.

[7] Two months before the Cup victory Kakha Chkhetiani, the ex-Torpedo player for six seasons and later assistant manager for three years, had taken charge of the club.

Taking into account plans for new investments, he pledged to carry on with successful run and make a championship challenge next year.

While the former was held to a goalless draw at Saburtalo, Kutaisi won their game, and the rivals had their last fixture in Tbilisi with the gap reduced now to two points.

[8] Six days later Torpedo had a chance to achieve the double by winning the Cup for the second time in a row, although they lost on penalties to Chikhura.

Chikhura Sachkhere took the lead in 76th min, but Kutaisi equalized ten minutes later with Levan Kutalia scoring in the stoppage time.

Summing up the season in December, the Georgian Football Federation named Roin Kvaskhvadze the best goalkeeper, whilst Mamuka Kobakhidze and Mate Tsintsadze won nominations respectively as best defender and midfielder.

In late August Zaal Chachava announced his departure from Torpedo,[15] although an overall condition was so complicated that in October the club played against Saburtalo with eleven U18 players, including 13-year-old goalkeeper Soso Kopaliani.

[16] Largely at the expense of points picked up earlier this season, Torpedo stayed in the league, but Kakha Chkhetiani, who had spent 39 months at the helm, bade farewell to the club in December.

In 2021, a massive fan support helped the team dramatically overturn a two-goal deficit after a first-leg play-off defeat from Merani Martvili.

[20] With financial stability restored and head coach Kakha Chkhetiani back for a third spell now, the team gradually improved its performance and in 2022 ended a four-year trophy drought by clinching the national Cup for the fifth time.

In the Soviet times Torpedo Kutaisi was the second strongest Georgian club with most talented players regularly taken away by Dinamo Tbilisi.

At any rate, most of the fans realize that Dinamo and Torpedo desperately need each other as strong rivals and healthy competition between them would only contribute to a better quality of the Erovnuli Liga.