I would use the liability account Accounts Payable for suppliers' invoices that have been received and must be paid. As a result, the balance in Accounts Payable is likely to be a precise amount that agrees with supporting documents such as invoices, agreements, etc.
I would use the liability account Accrued Expenses Payable for the accrual type adjusting entries made at the end of the accounting period for items such as utilities, interest, wages, and so on. The balance in the Accrued Expenses Payable should be the total of the expenses that were incurred as of the date of the balance sheet, but were not entered into the accounts because an invoice has not been received or the payroll for the hourly wages has not yet been processed, etc. The amounts recorded in Accrued Expenses Payable will often be estimated amounts supported by logical calculations.