Hello, Vincenzo,
Your situation is always a difficult one to handle. These dealer errors will almost always alter the outcome of the hand.
Our duty, as florrpersons, is to protect the integrity of the game by making a decision that will award the pot to the player who would have won the hand if no error had occurred.
This is easier said than done.
The good news is...this should be a rare occurrance and hopefully not something that your dealer repeats.
Dave Miller may be correct that the TDA is moving away from "preserving the sanctity of the sequence of the deck."
I found this in Roberts Rules and it is the best simple ruling for an unfortunate error.
If the dealer fails to burn a card or burns more than one card, the error should be corrected if discovered
before betting action is started for that round.
In Vincenzo's example it could not be determined which was the improper burn card. The problem here is, we know that the turn card is wrong.
I have experienced this in clasrooms when training new dealers. I found that the fairest way to protect any players from further financial loss would be to suspend any further betting.
Every hand is different. In a hand with little or no action, players might agree to take their chips back and deal a new hand. There could be a situation when a player has flopped the "nuts" and the turn and river would be irrelevant!
Turning a river card, that we know would never have come without the error, somehow does not seem to be the best solution.