The evidence that suggests that Eisenhower was aware of the tension between the United States and the Soviet Union was A. He signed NASA into existence
What did Eisenhower do in response to the Soviet Space program ?
The creation of NASA was a direct response to the Soviet Union's launch of Sputnik, the first artificial satellite, in 1957. This event shocked the United States and made it clear that the Soviet Union was ahead in the space race.
Eisenhower wanted to ensure that the United States did not fall behind, and he saw NASA as a way to catch up and surpass the Soviet Union.