funding for：for 表示“用途和目的”，介词短语作funding 的定语。这个表达非常多。以下例句均来自正规词典。
They hope for government funding for the programme. 
他们希望得到政府为这一计划提供的资金。
《柯林斯英汉双解大词典》
She's trying to rustle up some funding for the project. 
她正设法尽快为这个项目筹集一些资金。
《牛津词典》
The present system of funding for higher education is unsatisfactory. 
目前高等教育的经费体制并不令人满意。
《柯林斯英汉双解大词典》
The government has promised to put a ring fence around funding for education. 
政府已承诺教育资金保证用于教育。
《牛津词典》
There have been large cuts in government funding for scientific research. 
政府提供的科研资金已大幅度削减。
《牛津词典》
They could relax safe in the knowledge that they had the funding for the project. 
他们得知工程拨款已有着落时就感到踏实轻松了。
《牛津词典》
They hope for government funding for the scheme 
他们希望政府为这个计划提供资金。
《柯林斯高阶英汉双解学习词典》
He was indefatigable in his efforts to secure funding for new projects.
他不知疲倦地努力为新项目寻求资金。
《柯林斯高阶英汉双解学习词典》
Senator Lugar is skeptical that Congress will appropriate more funding for this purpose. 
参议员卢格怀疑国会是否会拨出更多资金用于此目的。
《柯林斯高阶英汉双解学习词典》
There should be ring-fenced funding for local crime prevention initiatives. 
应该有用于落实当地犯罪预防计划的专项资金。
《柯林斯高阶英汉双解学习词典》

funding of：of 表示“所属关系”，不强调用途。这种表达很少，从正规词典只找到两例。
Funding of education had been grossly inadequate for years. 
多年来教育资金严重不足。
《柯林斯英汉双解大词典》
Under the terms of the agreement , their funding of the project will continue until 2010. 
根据协议条款，他们为这个项目提供资金，直到2010年为止。
《牛津词典》