An exercise

This sentence must be given to me for my exercise of paraphrasing or something a little bit similar:

• In both cases, the government is attempting to correct for the market's failure to provide information efficiently on its own. 

The to-infinitive phrase, to provide information efficiently on its own, has the market's failure as its informal subject. This semantic subject is perhaps wrongly chosen because something which could and should  provide information efficiently on its own must be ‘market’ not ‘its failure’. So it seems that the sentence should be rewritten like below:

• In both cases, the government is attempting to correct the market's failure to make it(=the market) provide information efficiently on its own. 

I suppose there must be some other way of writing to make the same sense.

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Or, there may be a possibility that English speakers use correct for as a form of phrasal verb. Languages are living things, and usages may change, even though the usages of correct for as a phrasal verb cannot be found in dictionaries.