Lebese was the hero for Chiefs, as he struck a last-gasp winner after earlier cancelling out Bongani Ndulula's first-half strike for the bottom-placed hosts.
The midfielder first scored with a left-footed volley on the hour-mark before completing his brace with a tap-in after Siphiwe Tshabalala's free-kick rattled the crossbar.
"This was a team effort. It was because of my teammates and the technical staff, this goes to them," Lebese said on receiving an award for his individual display.
"It was very difficult for us, they were strong and they got the first goal. It was difficult to come back in the game. Fortunately we got the points.
"The belief was always there after conceding. We pushed until the final minute."
Lebese added that his coach Stuart Baxter has been encouraging him to get into the box often and make his presence felt throughout the 90 minutes.
"The coach always told me to get into the box. He kept pushing me to play the whole 90 minutes and not get tired and today I did.
"I had one bad pass early on and the fans were on my case. But I kept my head up, kept pushing, and two goals."