Juric and Griffiths both played the entire game for the Dutch side in the KNVB Beker cup game.
Roda took a lead into the break thanks to Hicham Faik's goal shortly before the interval.
Juric struck ten minutes into the second half with a neat left footed finish, before Tom Van Hyfte rounded out the scoring.
De Silva, who now looks to be owned by Roda, not Roma, came off the bench for Faik in the 63rd minute.
For goalscorer Juric, it was a welcome start to his career in the Netherlands. He made his debut as a second half substitute in the weekend's 1-1 draw with Feyenoord in the Eredivisie.