Are you talking about federal income taxes or real estate taxes ?
If federal income taxes, lenders may or may not send notice to the IRS for amount forgiven if you sell your home short.
For example: say you owe $200k and the house sells via short sale accepted by lender for $100k. The lender has "forgiven" the debt owed to them of $100k.
They may or may not pursue a deficiency judgment and try to collect. if they don't, they may report the forgiven amount as income to you to the IRS in which you may get a federal income tax bill for taxes owed on the forgiveness.
it's really up to each individual lender whether they report this or not.
If you are talking about property taxes, if your taxes/insurance are escrowed, the lender has an obligation to pay the taxes/insurance if you cannot afford them.
If the property is sold the new owner would have to clear up any back taxes or the lender would have to clear them up for the property to go to settlement.
Once sold you shouldn't have any real estate tax liability since you no longer own the property.
Hope that helps.