The register
The register lists L A Home Repairs Ltd in London 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).
At Companies House the business is L A Home Repairs Ltd (company number 12637662), a private limited company incorporated in 2020, 6 years ago. Registered office: Unit 8h Ilford Plaza, 350-352 Ilford Lane, Ilford, IG1 2LX, IG1 2LX. By its SIC codes the business is in construction.
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.