what part of including parole or probation do you not get?
Remember in elementary school math when you studied unions and intersects of sets? The design of that instruction was to lay down some basic concepts of logic. Examine this set here:

The circle represents "all terms". Anything item inside the circle constitutes "some terms". Let's say the lime green square denotes 'jail time'. The orange pentagon - 'community service'. The blue hexagon - 'restitution'. The red triangle - 'fines'. The black rectangle - 'probation'. The purple trapezoid - 'fees' (e.g. drug testing, court costs, early release costs, etc.) And so on. Each of these items represents a term of sentencing. All of them together represent "all terms of sentencing". If anything exists inside the circle, then by definition it is a term of sentencing. This includes parole. It includes probation. It includes restitution. It includes fines. It includes every single barrier placed upon an individual by a judge in any criminal proceeding. To argue that the inclusion of the words 'parole' and 'probation' by themselves excludes everything else is not only a preposterous supposition, it violates the most rudimentary logic.
Maybe the fines and fees were specifically excluded from the approved language to avoid a Constitutional dilemma of a poll tax.
As your link states (again):
When the language for the ballot measure was initially approved, a lawyer for the group submitting the amendment explicitly told the Florida Supreme Court that the terms would include payment of fines and fees.So no, the fines and fees were not specifically excluded. Hence the wording
"complete all terms of their sentence".