"Ad Sales" on Amazon are defined as sales attributed to an advertised product, but that does not mean the sale was the actual advertised product (i.e., same ASIN/SKU). This is where we differentiate between "Same SKU Sales" and "Other SKU Sales," which together total up to "Ad Sales."
You can see this in the “Advertised Product” tab in AdLabs
For example, you may be advertising your 1-pack variation, but after clicking the ad, the shopper buys the 2-pack variation (or any other product from your brand). In that case, the 1-pack will show an "Ad Sale" but will not show a "Total Sale," because the actual sale went to another product (the 2-pack).
"Organic Sales" are simply calculated as Total Sales minus Ad Sales.
However, Organic Sales can be off at an individual product level because Total Sales are SKU-specific while Ad Sales are based on attribution (see above).
So Organic Sales at the total account level are accurate, but on an individual product level they are estimates.
For Vendor Profiles, please see the article below for more info on the nomenclature for these metrics.
Vendor Central Metrics: Sourcing vs. Manufacturing View
Which vendor-specific metrics can you access on sourcing vs. manufacturing view?
This is how Amazon attributes and defines these terms. There's nothing AdLabs (or any tool) can do to change it unless Amazon updates their attribution formula.