Along with the former Everton striker, Anton Stach and Noah Okafor also scored their first goals for Leeds.
Afterwards, Farke beamed: "Today we were more effective in both boxes, and scored three goals. I am pretty happy and delighted to have three precious points. What I liked it as 1-0 down we stuck to our plans and our processes. We scored three fantastic goals.
"We know what Dominic Calvert-Lewin is capable of doing for us. We went for it after that goal. We dropped deeper in the second half and I would have preferred more possession but it was an important win for us. I liked that we showed steel in the second half.
"We created many chances and shots in previous games but didn't have the cutting edge. It was a focus in training this week, but sometimes you just need an opener and it's a bit like a bottle of ketchup! I am pleased for the offensive players. Confidence is very important."