Is there a way for the frame numbers not to jump? Because I want to put the timecode display effect that premiere pro has. But when I do that, the timecode display effect also jumps rather than continuing the frame count.
The last two digits of the timecode are frame numbers. When you get to the next frame-number "up" from the sequence FPS, the number goes back to zero. It is NOT jumping, just showing the correct timecode as timecodes are meant to be shown:
With a 29.97fps sequence, it counts up frames until it gets to 00:00:00:29 ... the next frame is now at one second, so the total count goes to 00:00:01:00.
That last number, the frame, is not the total number of frames of the sequence but of that second.
If you want only frames showing, then you can select the option to show the sequence timecode purely as a frame count. Which of course will include no hours, minutes, or seconds in the count, just a frame-count.