I couldn’t have imagined how successful the research is but for abundant Financial support and advanced equipment  which is used to recond expermental data in laboratoy from government. 

你这个句子虚拟语气与陈述语气谓语的时态形式有误。我修改如下：

The research couldn't have been so successful but for the abundant financial support and  advanced equipment (for recording experimental data) provided by the government.

财政支持和先进设备都是政府提供的，所以provided by...修饰二个名词，第二个名词的定冠词承前省略。记录实验数据则只修饰equipment，用逗号括起来，用介词短语更为简练。这样provided修饰二个名词就更为清晰。