During the early years the club grew quickly, and for today more than 150 players in ten groups of age are trained by twenty coaches.
For their work with juveniles, UKSE were awarded the "A Magyar Kézilabdázásért" ("For the Hungarian Handball") prize in 2006.
Their biggest success so far is the third place in the Nemzeti Bajnokság I/B, they achieved in 2010.
This result unexpectedly became more valuable later, as Hódmezővásárhelyi NKC were unable to meet the financial criteria to enter the 2010–11 Nemzeti Bajnokság I, and UKSE, with the best balance between the non-promoted teams, got the chance to take their place in the top-level championship.
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