How to grab visible cells only from one workbook to another.

I have two workbooks that reference one another in which the cells are equal to each other.

These are the workbook names:
Baseline.xls
Database.xls

If I use the filter on the Baseline workbook, it still automatically fills the Database workbook with all of the cells. I would like for the Database workbook to only grab the visible cells from the Baseline workbook when I filter the Baseline. Is this possible?

Here is the code I am working with:

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I don't want to use a copy and paste method because the data may change and if the cells are equal then that allows the data to change on the Database workbook as well.