What does "termination" mean? Why, it means make an end to. The word "complete" is redundant.
What was the quote in reference to?
The reduction of the number of government employees.
When a project is ended, the employees working on that project are either shifted to other projects or let go. When GM stops making Oldsmobiles, it can't shift all the men working on the Oldsmobile line to the Pontiac line. If the government ends welfare, it's not going to have enough work to move all those welfare employees to the education staff, especially since education is yet another federal item the Constitution does not allow.
So, it logically follows that the termination of a federal program leads to the dismissal of federal employees.
Let's get to the "unconstitutional" part.
If it's not specifically allowed by Article 1, Section 8, it's reserved to the states. The vast majority of government programs simply are not in the Constituiton, anywhere. That means they're not Constitutional.
You can't argue this, you can only lie about it.