Question

Some of the huge increases in military spending under President Ronald Reagan went to the development of __________, nicknamed the __________ program.

Answer 1

nuclear weapons, SDI (Strategic Defense Initiative) nicknamed Star Wars.
I am not sure if the second part of your question is asking for SDI or Star Wars.

Answer 2

Reagan's economic policies came to be known as "Reaganomics," an attempt, according to Lou Cannon, to "balance the federal budget, increase defense spending, and cut income taxes."

http://www.reagan.utexas.edu/archives/reference/pressketch.html