Fats and oils, which are composed of triglycerides, serve as stored energy reserves in plant and animal cells. Each triglyceride is composed of three fatty acid molecules bonded to one glycerol molecule. When an organism has excess energy available from food or from photosynthesis, it may use that energy to form stores of triglycerides. These can later be broken down to yield energy when the organism needs it. Fats and oils contain twice as much stored energy, per unit of weight, as carbohydrates or proteins
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Why he would put him on a low carb diet for triglyceride control is beyond me. Maybe by lowering the carb levels in the blood you would burn up more tri's. Still it would make more sense to go on a low fat diet with moderate carbs.