Purcell Mountain Farms has the nutritional values listed for their product on their webpage:
Serving Size: cooked 1/2 cup (42 g)
Calories 159 Calories from Fat 0 Total Fat 2.5 g 3.8% Saturated Fat 0.3 g 1.3%
Monounsaturated Fat 0.7 g Polyunsaturated Fat 1 g Cholesterol 0 mg 0%
Sodium 9 mg 0.4% Total Carbohydrate 29.5 g 9.8% Dietary Fiber 3 g 12.3%
Sugars 1 g Protein 5.7 g 11.4% Vitamin A 0% Vitamin E 6.8% Vitamin C 0%
Calcium 2.6% Iron 21.9% Magnesium 22.4% Phosphorus 17.5%
Potassium 9% Zinc 9%
Similar figures for one cup of cooked Quinoa adjusted to 1/2 cup:
Serving Size: cooked 1/2 cup (93 g)
Calories 111 Calories from Fat 16 Total Fat 2 g 2.5% Saturated Fat 0%
Sodium 6.5 mg 0.5% Total Carbohydrate 19.5 g 6.5% Dietary Fiber 2.5 g 10.5%
Protein 4 g Vitamin A 0% Vitamin C 0%
Calcium 1.5% Iron 7.5%
So, BOE calculations, it looks like the quinoa flakes have something additional added to supplement it, raising the number of calories in a serving as well ass adding more sodium, but also including more vitamins. Of course, it may also depend on what figures each is using for rounding things. The FDA has rules but neither listing seems to be using them. Regarding supplementation, it's been pointed out in the comments that the quinoa flakes only state that quinoa flakes are present, but FDA guidelines allow omission of enriching vitamins and minerals in they're the components of another item such as flour:
Generally, FDA only requires that the label declare the vitamins A and C, and the minerals calcium and iron. The other enrichment vitamins and minerals must be declared when they are added directly to the packaged food (e.g., enriched bread), but not when the enriched product is added as an ingredient to another food. NOTE: It is necessary to declare the other vitamins and minerals in the ingredient list. However, if unenriched flour is used, and the enrichment nutrients are added separately, those nutrients (i.e., thiamin, riboflavin, niacin, and folic acid) would have to be declared on the Nutrition Facts label. 21 CFR 101.9(c)(8)(ii)(A)-(B) and 21 CFR 101.9(c)(8)(iv)
I feel like, if enriched quinoa flakes were your only ingredient, you'd have to admit to it, but I am not a lawyer, of course, so they might be dodging it that way.