Why do the figures on my daily management and trial balance report not match?
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You cannot compare the stats in the daily management report with the figures from the invoice charges reporting (includes the Trial Balance Report) like for like. One shows booked turnover (daily rates) and the other shows invoiced turnover (invoices and their amounts that become due / get paid in certain date ranges).
Since you do not issue an invoice for each night of a guest's stay the two reports will never be identical. You'll have to apportion the invoices turnover daily across the relevant period in order to achieve this, bearing in mind that each night may well have a different rate.