The register
The register lists Sysco GB Ltd in Ashford, Kent as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. Its rating on the register is Worker (A rating).
Companies House lists it as Sysco GB Limited, number 02035315, incorporated 1986: 40 years of filings behind the name. Registered office: Enterprise House, Eureka Business Park, Ashford, Kent, TN25 4AG, TN25 4AG. Its filed activity puts it in wholesale. It has traded under other names before, including Brake Bros Limited, Brake Bros. PLC.
A licence says an organisation may sponsor; it does not say it is hiring today. The way to find out is the same as for any employer: the careers page, the job boards, and a direct approach with a UK-style CV that says early that sponsorship would be needed.