The phrase "that will better" is correct and can be used in written English.
It is typically used to talk about something that will improve or make a situation better. Example: "I am confident that will better understand the lesson after practicing more."
A federal grant for new technology that will better measure water use.
I have been clean from drugs for eight years, and have completed every program provided by the institution that will better my chances of success upon release.
This crisis has also seen the integration of Internet technology that will better prepare the Red Cross and other relief agencies for the next disaster.
"This is a major step toward the realization of a long-sought-after new facility that will better serve our artists and the community," said Adam D. Weinberg, the Whitney's director.
"These have been huge blows to the industry and we're looking at a variety of solutions that will better protect customer funds," said Walter Lukken, the president of the Futures Industry Association, a trade group.
It could be that the real debate will not be books versus the Internet but how to build an Internet counterculture that will better attract people to serious learning.
These improvements not only benefit people today but are steps on the road to an artificial pancreas — an automated system that will better manage the blood sugar of people with Type 1 diabetes.
"We have a tremendous opportunity to change Barclays in a way that will better serve all of our stakeholders — customers, clients, colleagues, shareholders and broader society," he said in a letter to employees.
But, perhaps more importantly, gold is seen as a safe haven that will better ensure the value of family savings than a bank account or a volatile stock market would during periods of high inflation and economic uncertainty.
I know I have to do something that will better my life.
The American people want their tax dollars invested in research that will better their future.
