The report you are viewing is using the Accounting Date from that report filter. If there's any activity in the New Run using that date, or prior to that date, then it will be included in the report viewed. If you do not wish to see that activity on the report, then you would need to specify an Accounting Date in the report filter which is before the date used on that bill as the Invoice Date.
This is true of the run closing also: the date specified to "Process Expense Through" when closing the run will include any activity in the New Run that is on or before that date. Therefore, if you don't want to process this particular expense when you close the run, be sure to specify a date prior to the date of that expense when choosing to process expense through in the run closing screen.
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