The game was played behind closed doors as Kotoko are serving a five-match ban for fans disturbances in last weekend's clash against Berekum Chelsea.
Cudjoe opened the scoring in the 83rd minute with a fine effort into bottom left corner before Richard Arthur sealed the win two minutes later.
Elsewhere in Dansoman, Hearts of Oak produced a stunning second-half performance to earn a 2-1 comeback win against Liberty Professionals.
The Phobians were losing the match until the 86th minute when Bernard Arthur equalised. Three minutes later, Kofi Kordzi grabbed the winner for Hearts.
Yahaya Mohammed extended his lead at the top of the goalscorers chart to six after scoring in Aduana Stars comfortable 2-0 win against Legon Cities FC.
Also, Medeama were beaten for the first time this season by Dreams FC in Dawu. Read Full Story
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