Over the past few months it has been working hard.

参考译文：在过去的几个月时间里，它一直都在努力工作。

时间状语：over the past few months

主语：it

谓语：has been working

方式状语：hard

With the help of media consultants, to play down its cosy reputation in favour of something more academic and serious.

以上句子没有谓语动词，因此不能称作为完整句子，属于2个短语。

介词短语：with the help of media consultants

不定式短语：to play down its cosy reputation in favour of something more academic and serious.

由于没有谓语动词，无法识别以上2个短语作何种成分。