句中on介词短语干什么成分

We worked closely with those experts to set the game design for the two preschool-targeted DS games under development on what we had gathered.

给的翻译是 大家和这类专家密符合作，依据搜集来的信息开发出两款针对学龄前儿童的任天堂DS游戏。

如此翻译感觉on what we had gathered像是做了develop的状语 但句中under development是否应该做games的后置定语，on what we had gathered 做set的状语呢？谢谢解答

on其中有一个意思是“通过”，像by。“on what we had gathered”是介词+宾语从句做方法状语。由于是状语，它的地方可以随便，不过为了强调，大家一般把它放在前面，可能如此你看着会更易于理解。On what we had gathered, we worked closely with those experts to set the game design for the two preschool-targeted DS games under development.

under development是介宾短语做DS games的后置定语，在开发中的DS游戏。

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顺便说一下，感觉这个句子的design有语法错误。

“the game design for the two preschool-targeted DS games”中的design应改为designed。理由：design是谓语，给出的句子中没连词，只有一个句子，因此只能有一个谓语。改为designed用过去分词作game的定语/目的状语