Color, and why the bottle goes brown
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A red sauce browning on a shelf is a common complaint a producer gets and it is almost never a safety problem.
What is actually happening
Carotenoid pigments oxidize. The bright red compounds that make a fresh pepper red degrade on exposure to oxygen, light and heat, and the product shifts toward brown. Nothing has spoiled.
Green sauces go olive by the same mechanism acting on chlorophyll, and they show it sooner because the starting color is less forgiving.
Light is the main driver
A clear bottle on a sunlit shelf browns dramatically faster than the same sauce in a dark cupboard. Retail lighting is not gentle, and a product that sits face-out under a spotlight for a month is a different product from the one in the case.
This is a packaging decision as much as a formulation one. Amber or opaque protects color and hides the product, which for a sauce that sells on appearance is a genuine trade rather than an obvious win.
Heat and time
Every minute hot costs color. A long reduction, a slow cool in a stacked case, or a hot fill held longer than the process requires all show up as a duller product.
Cool promptly after filling. Cases left to cool in a stack hold heat for hours and that is invisible at the time and obvious on the shelf.
What you can do about it
Minimize headspace, since oxygen in the bottle is oxygen available to the pigment. Fill hot if your process calls for it, cool fast, and store finished stock cool and dark.
And manage the expectation. A natural sauce changes color and a customer who was told so reads it as authenticity rather than as a fault. A short line on the label does more for returns than any formulation change available to a small producer.