The Fed wants to push unemployment. To save the economy previously they injected tons of money and need Billionaires and big businesses (because the injection process is not directed to your average mom and pop) to use that money. Now that they need to reduce money, they take away jobs for the working class. Nice system. Free government money to some and government pushing for you to lose your job for others, the two levers the Fed loves.
The FED is not trying to push unemployment, they just accept it as a cost to curb inflation which is always enemy number one. Interests rates and unemployment are correlated; you make borrowing more expensive, people invest less and become more conservative, often by trimming.