句中on介詞短語干什么成分

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.

給的翻譯是 大家和這類專家密符合作，依據搜集來的信息開發出兩款針對學齡前兒童的任天堂DS游戲。

如此翻譯感覺on what we had gathered像是做了develop的狀語 但句中under development是否應該做games的后置定語，on what we had gathered 做set的狀語呢？謝謝解答

on其中有一個意思是“通過”，像by。“on what we had gathered”是介詞+賓語從句做方法狀語。由于是狀語，它的地方可以隨便，不過為了強調，大家一般把它放在前面，可能如此你看著會更易于理解。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是介賓短語做DS games的后置定語，在開發中的DS游戲。

------------------------------------

順便說一下，感覺這個句子的design有語法錯誤。

“the game design for the two preschool-targeted DS games”中的design應改為designed。理由：design是謂語，給出的句子中沒連詞，只有一個句子，因此只能有一個謂語。改為designed用過去分詞作game的定語/目的狀語