Re:fat burning routine
Don't like the look of that routine at all.
I see absolutely no reason whatsoever to change your weights routine when you're cutting. Whether you are bulking or cutting is a result of your diet (and extra caloric deficit creation through cardio).
Continue to lift heavy weights on the big compound movements, this is the best way to ensure that you maintain your strength, and maintaining your strength is the best way of maintaining your muscle mass. Disregard anything you read about doing high reps with light weights to 'tone' the muscles or any other similar garbage. Losing weight is easy, we all know how to do this, the hard part is maintaining your muscle mass while in a caloric deficit. We do not need new fancy ways of burning more calories (like higher reps or supersets or whatever). Burning calories is easily achieved through your diet and cardio, your weights sessions should serve the purpose of holding onto as much muscle as possible, so continue to lift heavy.
Whatever routine you were doing before, just stick to it and add in some cardio sessions. The real work will be done in the kitchen!