There are several (or at least two) ways to show that the schedule is pushing to the right of a planned completion date. FINISH NOT LATER THAN or MUST FINISH ON and a DEADLINE.
Here's the two ways in MSFT Project.
- The planned finish - the DEADLINE is always visible - and is described by the DEADLINE
- The actual finish is also always visible,in this case showing to the right of the planned finish.
The concept of a dynamic schedule, free to move left or right at all times is a critical success factor for any credible schedule.