Graeme Murty’s side progressed to the third round of the competition with Josh McPake and Barjonas on the scoresheet.
The Colts captain said: “I am buzzing with the result I thought it was a good team performance and there were a lot of good individual performances.
“I think you could maybe even say we were coming into the game as underdogs obviously we have got quite a young side.
“I thought Dapo and Josh were absolutely brilliant tonight and they have shown through pre-season that they are really good players so overall as a team so we are really buzzing with that result.
“I think being able to play against and show our style of football against teams like this is really good.”
Barjonas got his goal with nine minutes of the game remaining and felt it came at the perfect time as Stranraer pushed for an equaliser.
He added: “At half-time they said to me that they wanted to see me higher up the pitch so it was just a breakaway and I thought after I played the ball I’d get into the box and luckily it landed at my feet and I was able to just put it in the back of the net.
“We could start moving the ball about again and I think in the last 10 minutes we absolutely dominated the game and controlled the game so it was good.”