The club's board, chaired by Reeves, was responsible for making all the payments towards the construction.
From 2007 to October 2013, Reeves was one of four signatories for the club's bank accounts.
Cheque payments from the club required two signatories and the court today heard Reeves would use his, and another fictitious signature to make fraudulent payments.
His actions were not discovered until October last year when the club could not meet progress payments owed to Wilkinson Civil, a contractor carrying out artificial turf work on a full-sized field and softball diamond.
Reeves wrote several personal cheques to try to conceal his offending but they bounced and the matter was brought to the attention of the club's board.
It was then that the extent of his offending was revealed, the police summary said.
Reeves was subsequently dismissed and police became involved. He was arrested last month.
Judge John Bergseng today convicted Reeves on a charge of theft by a person in a special relationship and remanded him on bail for sentencing in June.
He faces a maximum jail term of seven years.