Is it good to follow a diet with more carbs when taking nutrient partitioners?

Nutrient patitioning refers to any kind of intervention that causes fat loss and muscle gains. It usually refers to dietary changes designed to do this.

I can't see why Anabolic Pump would have this effect. It has fairly obscure ingredients. I looked up the primary ingredient on the Medline Scientific Database and I can't find any good evidence that it has any kind of nutrient partitioning or any other effects desirable to a bodybuilder or someone wanting to gain muscle or lose fat. If you use it, please let us know your feedback.

As far as nutrient partitioning, many fat burners have ingredients that can help you maintain your muscle whilst burning fat but none can cause nutrient partitioning on their own.

To avoid muscle loss get "at least" 2 grams of protein per kilo of bodyweight and take a creatine product.

Sorry, as far as the carb part of your question, because I don't believe that this product is a nutrient partitioner, there's no way for me to advise you on carbs.