Therefore, the results of the long-term care needs certification must be related to the volume of care services.
Literal
For-that-reason, long-term-care-certification [possessive-の] result [topic-は] care-services [possessive-の] quantity [with-と] related-being need exists.
Policy language about Japan's care insurance system. 要介護認定 (long-term care needs certification) is a specific administrative term. 関係している必要がある means 'needs to be related to' — an unusual but grammatical construction. 介護サービス mixes the Sino-Japanese 介護 with the loanword サービス.