"information gap between" is correct and usable in written English.
This phrase is typically used to refer to a lack of information or difference in knowledge between two people or groups. Example: The information gap between the students and the teacher was evident during the class discussion as the teacher had more knowledge on the subject. Another example: There is a significant information gap between the company's management and its employees, leading to misunderstandings and inefficiencies in the workplace.
There also seemed to be an information gap between the chef and the waiters.
The information gap between rich and poor in the world is difficult to assess.
It would be an important step forward for government openness, and it would narrow the information gap between Washington insiders and ordinary Americans.
But the information gap between partnership investors and public stockholders is just one of the conflicts that litter the Enron battlefield, legal experts say.
Additionally, the discussion considers how to bridge the information gap between scientists, citizens, and policymakers through increased knowledge dissemination.
We identify an information gap between storage and usage of timestamps in modern operating systems that use high-precision timers.
The OpenNet Initiative blogs on the information gaps between China and Tibet.
Rural electrification in developing countries is often hampered by major information gaps between local communities and urban centers, where technical expertise and funding are concentrated.
This project aims to bridge information gaps between academic research and sovereign wealth fund (SWF) managers about long-term investing in short-term oriented markets, and to develop strategies and institutions to facilitate long-term investment.
This signature research project, led by Patrick Bolton, Jan Svejnar, and CGT Member Joseph E. Stiglitz aimed to bridge information gaps between academic research and sovereign wealth fund managers about long-term investing in short-term oriented markets.
Google, he says, "can build technology to fill information gaps between health ministries, nongovernmental organizations and the private sector".
