2005 also brought success in the Cypriot Cup, in which they reached the final of the competition only to lose 2–0 to Omonia Nicosia and finishing in 4th place in the Cyprus first division.

The 2018–19 season, restored some of the club's former glory as it won the 3rd division championship, returning to the 2nd tier of Cypriot football after 8 years, additionally the club did the double by winning the cup competition that the Cyprus Football federation runs for the lower divisions, closing this year with the "double".

It was established on 23 April 1931 under the full name of "Mousikofilologikos ke Athlitikos Sillogos Digenis Akritas Morfou".

Due to the absence of an appropriate stadium in Morphou the team could not enter the official league of the Cyprus Football Federation.

The greatest moment in the history of the club is written as Digenis participates in the UEFA cup and plays in "San Siro" stadium against the mighty A.C Milan (0–3).

After finishing second in the Cypriot First Division in 1971, it qualified for the UEFA Cup competition and was knocked out by AC Milan UEFA Cup 1971–72 under the Management of Noel McFarlane one of the Busby Babies of Manchester United; the club had a great following and was ranked within the strongest clubs in Cyprus before the Turkish invasion of Cyprus and occupation of the city of Morphou in 1974.

Following the Turkish invasion, the team was displaced to the southern part of the island, where they play in exile; this upheaval brought a downturn in fortunes, the team loitered in the lower divisions until the 1999–2000 season, when they again earned promotion to the top division.

The Turkish invasion of Cyprus of 1974 and the subsequent occupation of the city of Morphou left Digenis with no home, no financial resources, and no stadium.