Taxation Date different than Invoice Date

Taxe rates are different from one month to another.  Taxes are levied based on Invoice date in AP.  If the goods are received or the service is rnedered in month 1 and the invoice is dated in month 2, then I need to tax the invoice at the goods received or services rendered date.  For instance, tax in month 1 is 13% in Month 2 it is 15%.  If the invoice is dated in Month 2 it gets taxed at 15% even though the service was rendered in Month 1 and should be taxed at 13%.

What is the tax setup needed to do this? Or do I need to use a workaround?   If so, what are the recommended steps?