The register
The register lists Burkitt Communications Ltd in Rutland 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 Burkitt Communications Ltd, number 07617134, incorporated 2011: 15 years of filings behind the name. The registered office is at 38 Main Street, Seaton, Oakham, Rutland, LE15 9HU, LE15 9HU. Its filed activity puts it in other services.
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.