"Each employee can select and order his or her device via this xxx platform (http:xxx). The order is approved through an automatic workflow via an application to the department responsible for the costs involved or, in the case of higher sums, to the appropriate department as stipulated by the company's Supervisory Board [Monitoring Costs Section].

An extended meaning of Ingerenz within law is its element of monitoring.

Therefore I would suggest translating ' Gesellschaftsingerenzen' als company's Supervisory Board.
See:

Ingerenz ist eine Überwachungsgarantenstellung, die sich draus ergibt, dass der Täter für die Überwachung einer von ihm zuvor selbst geschaffenen Gefahr verantwortlich ist.

https://www.iurastudent.de/definition/ingerenz

The duties of the Supervisory Board
1. Supervising the company's administration which is under responsibility of the Board of Directors and the CEO;
2. Providing instructions to the Board of Directors on matters that are of far-reaching consequence or important in principle; and

https://www.atria.fi/en/group/investors/corporate-governance...

Monitoring Costs

Costs borne by owners to monitor the management of the company (e.g., board of director expenses).

https://definedterm.com/monitoring_costs

offer cost management software to help businesses monitor costs and increase profitability.

https://whatis.techtarget.com/definition/cost-management


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Note added at 2 days 49 mins (2018-10-09 15:52:39 GMT)
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Therefore I would suggest translating ' Gesellschaftsingerenzen' als company's Supervisory Board [Monitoring Costs Section] in this case