“Relevant Costs” means all fees, costs, expenses and other amounts incurred by the Hedge Provider in connection with the acquisition of establishment of hedging positions
"相关费用"是指因对冲仓位成功建仓而产生的一切费用

通常，acquisition意思是“收购”，但这里是“取得”，establish positions=establishment of positions建仓，所以，这里要表达的意思就是建仓成功了。

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Note added at 42分钟 (2019-06-15 02:38:19 GMT)
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从你的另一个提问来看，这里原文应当有误，不应该是the acquisition of establishment of hedging positions，而是 the acquisition and establishment of hedging positions。可能是客户打字打快了，把and打成了of。建议与客户联系确认。原文出现错误的情形经常发生的。

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Note added at 49分钟 (2019-06-15 02:45:10 GMT)
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如果系原文介词有误的话，那acquisition和acquire就应该是购买的意思了。