The Manchester United loanee struck his first goals for the Villans at Deepdale.
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After the 3-0 win, Rashford told BBC Radio: "It's a great feeling, I feel like I've been getting fitter and playing better football since I've been here. It's always nice for a forward to get a goal so hopefully, it continues.
"We have to take it one game at a time and give it 100% on the pitch and see where it takes us. We're very ambitious.
"Step by step. I think I can still get fitter. I missed a lot of football before joining up with them.
"My body feels good and I'm enjoying my football for now."