I know of two American companiesorganizations that offer a life-cycle based certification scheme for food or food services, but they seem to be small and not widely spread. For the record I'm not affiliated to either of these organizations.
1. Environmentally Preferable Product (EPP)
There's a company called [SCS Global Services](https://www.scsglobalservices.com/services/environmentally-preferable-product) which is athird-party certifier of environmental claims in the green building, food, energy, and consumer product sectors
They offer an Environmentally Preferable Product (EPP) certification to producers, which means that they will use
the most advanced life-cycle assessment (LCA) metrics to confirm that your products meet this standard of excellence
I don't think it's very widely known (I haven't heard about it before), but it does seem to be what you are looking for.
2. Green Seal
The [Green Seal](https://www.greenseal.org/about) is a non-profit organization thatdevelops life-cycle-based, multi-attribute standards and certify products and services that can prove they meet our strict criteria for human health, reduced environmental impact and excellent performance
They have a list of categories for which they offer this including a standard for Restaurants and Food Services (as well as one for paper products used for food preparation and one for food service packaging).
The company says that they are
a founding member of the Global Ecolabelling Network, the internationally recognized network of ecolabelling organizations
but again I've never heard of them (but that could be because I'm not American).