Double cleansing

I’ve gotten the Burt’s bees oil cleaner because I wanted to give double cleansing a try. So I use that to rub off my makeup and then I take it off with a steaming hot wash cloth. Then I wash my face with my Clarisonic and Burt’s bees acne face wash. Lately my face has been breaking out like insanely bad and I was wondering if it was due to the oil? I’ve always been so scared to put any type of oil on my face because of the fear of breaking out. But I also don’t eat the healthiest so I’m sure that has a lot to do with it. Should I stop using the oil cleanser and just use the regular wash?