In Short ‘Yes’ see the following from the funding rules:
We procure and manage contracts for ESF-funded provision on behalf of local enterprise partnerships that meets local needs. This includes matching the ESF contract value to other similar funding and learners, which we report to the ESF Managing Authority in England.
This means any learning funded by us becomes part of the ESF programme, and the ESF programme rules apply and will be subject to our ESF compliance checks and external audit.
You and your subcontractors must follow the retention of documents, ‘publicity’ and horizontal themes rules and provide evidence as detailed in the ESF 2014 to 2020 funding rules.