In Australia, you cannot carry over any unused deductions for following tax years, they are only allowed for the tax year they occur in.
You generally cannot transfer any deduction to your spouse unless she has incurred the expense in deriving her income.
If you have reduced you taxable income to below the Tax Free Threshold and still have deductions or tax credits (except for franking credits) left over you can not use these any more because your tax liability will already be zero.
The only tax credits that you can use once your taxable income reaches zero are franking credits from fully or partially franked dividend from any share holdings you may hold. If your taxable income is zero before any franking credits are applied, then you should be entitled to a tax refund to the value of the franking credits.