If you have different labels in your captions, set through the Insert Caption dialog, your separate Table of Figures and Table of Tables should be very simple. Note that these would then have separate series of numbers for your Tables and Figures. Here are screenshots of the fields for these. They all use the TOC field.

The first is a standard Table of Contents, the second a Table of Figures, and the third the Table of Tables.
When you go to Insert Table of Figures you get the following dialog, where you can pick the label you want included.
With my custom labels, I added the following three Tables of Figures from the default settings by just picking the appropriate label.

Here is what the fields looked like:

Note, the extra paragraph marks are a part of the field.
Here is the Microsoft reference page on the TOC field: https://support.microsoft.com/en-us/office/field-codes-toc-table-of-contents-field-1f538bc4-60e6-4854-9f64-67754d78d05c