Who decides what goods and services are produced in the US to trade with other country?

The USA is a Free Market Economy.

This means:

• That what gets sold is what is purchased.

For export the company selling decides to sell to Another Country. They start by sending or hiring sales people in that country or pursuing other marketing strategies that amount to the same thing.

In other Words the buyers and sellers decide what gets exported.

BUTThe US government has laws that restrict certain technologies and products (guns for example) getting sold to certain countries.