The register
The register lists Sortlist Ltd in Oxford as a licensed sponsor on Skilled Worker, an entry that goes back to at least 2026. The register records its rating as Worker (A rating).
Companies House lists it as Sortlist Ltd, number 09013398, incorporated 2014: 12 years of filings behind the name. Registered office: 16 Boundary House West Way, Oxford, OX2 0JH, OX2 0JH. Its filed activity puts it in business services. It has traded under other names before, including Sortlist Packaging Ltd.
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.