The phrase "step up its efforts" is correct and usable in written English.
It is used to mean "make more of an effort" or, more simply, "work more". For example, "The team needs to step up its efforts if it hopes to win the next game."
Secretary of State Clinton sounded less sanguine when she told the Senate Foreign Relations Committee in March that America would have to step up its efforts if it wanted to maintain its position in the global media field.
Among indigenous Papuans, a lack of education and access to medicine combined with social stigma and moralizing have fueled the crisis, even as the Indonesian government pledged recently that it would step up its efforts to combat the disease.
U.N. Secretary-General Ban Ki-moon this week noted Syria's tardiness and urged it to step up its efforts.
It added that it was planning to step up its efforts to curb the use of bitcoins to launder cash.
And it is bound to step up its efforts to have offending Android devices banned from sale.
It will start selling a new crop of phones and step up its efforts in China, a market it entered only in July 2010.
Individual acts of courage against corruption are cause for hope, but to fully restore the rule of law, and respect for it, Nepal needs to step up its efforts to improve public integrity.
She said the group would step up its efforts to win support in departments where it was weak.
And it can generally be counted on to step up its efforts in a crisis; last year's stimulus sent more than a hundred and fifty billion dollars to state and local governments.
Business executives urged the federal government to step up its efforts to negotiate new trade agreements today, warning it risks losing 50 years of trade leadership to countries with more ambitious agendas.
The United States must also step up its efforts to help resolve the Arab-Israeli conflict.
