Unfortunately, this is not possible directly.
Statistics, as suggested by @anon73440385, will show “technical information”, i.e. what is contained in the encoded document file.
However, if your tables and drawings have their own captions with a dedicated number range, I found a workaround I don’t like because it involves fiddling with the encoding.
Provided your summary line “This document contains X pages, Y drawings, Z tables” is located after the last numbered “object”, you get what you want by inserting another number. That this reference appears last is necessary because it is nothing but a new occurrence of a numbered item.
Number range in Type, the relevant counter in Select
This is the trick ==> in Value, enter explicitly what should be displayed, i.e. Table or Drawing
Doing so will inhibit the default formula Table + 1, giving you the current value without incrementation.
There is no solution for bibliography entries but a poor ersatz.
When you format your bibliography, you can request Number entries so that they are numbered. Reading the last line will give you the number of entries. But, this also replaces bibliography references by a numeric index instead of an id like [Author99]. See what you prefer.
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