Why do Jewish believers no longer offer animal sacrifices to God and when was this changed?

Strange that a woman like you, in faith, does not know why the sacrifices of animals to God have ceased!

I would like to know if you have done the biblical school, because where a believer can not understand with the biblical passages exposed by the sacred bible, as I said, there is the biblical school!

John 1: 29.

The next day, John saw Jesus coming towards him and said: "Behold the Lamb of God, who takes away the sin of the world!

So it was Jesus Christ who took the place of the sacrificed lambs, which is why the sacrifice of the animals ceased.

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Additional data: I have already answered your question, I notice that you are not a true Christian, but you are a religious?

The Jews who were the People of God, used to sacrifice the lamb as a sacrifice for sins, after the coming of Jesus Christ, the new generation of Jews, learned to observe what Jesus was, the Lamb of God sacrifices for the remission of all sinners. Go to the Christian biblical school, do not entrust yourself to your religion, it is out of doctrine!

Sacrifices require the Temple in Jerusalem and that was destroyed in aprox. the year 70 CE.

The only place that practice was allowed, was at the Temple, in Jerusalem. After the fiery destruction of the Temple in 70 AD, the practice was totally abrogated.

The Jews were commanded (through Moses) to only have ONE altar for sacrifice, not many. This ONE altar was originally held in the Tabernacle, the mobile worship place commissioned by Moses. Later on, Solomon built a temple in Jerusalem, where the altar was relocated. That temple was destroyed and rebuilt 2x, finally by Herod and his sons, during the life of Jesus Christ.

THAT temple was destroyed by future Caesar Titus in 70 AD. The temple has never been rebuilt, and the Jewish priesthood has been abolished. There is no-where to make a proper sacrifice, and nobody to do it.

The site of the old temple now has a mosque sitting on it.

The destruction of the temple in AD 70 by the Romans ended the Levitical priesthood, with the animal sacrifices and all other ordinances and traditions and rituals.

The Jewish laws required that once the temple in Jerusalem was build that all sacrifices had to be offered there.  The temple (actually the third one on that site) was destroyed in 70 AD.  Without the temple the Jews where unable to perform the rituals of the sacrifices as required.  The site of the temple would have a Muslim temple (The Dome of the Rock) build on it, preventing the building of a new Jewish temple.

Until the themple can be rebuilt the Jews are unable to offer those sacrfices. 

In AD 70, Jerusalem and the temple were destroyed by the Romans.  Even the Jewish nation was almost destroyed.  Most of the Jewish genealogical records were destroyed, so you couldn't even tell who was a Levite or a priest so as to have the right person to offer such sacrifices.  At that time, what few Jews were left were on the run (think Masada), and the last thing on their minds was offering animal sacrifices.  They were just trying to keep themselves from being killed.

Eventually, with much of their Torah impossible to obey because of the lack of the right people, infrastructure or equipment, they came up with some sort of hodge-podge rabbinical tradition thing to sort of replace the Torah.  Even Jesus complained how they had abandoned God's teachings for their traditions (Mk 7), so disregard for God's word for Jews wasn't really all that new.  The new traditions no longer required things like offering animal sacrifices, and for some Jews, even commands like no working on the Sabbath went out the door.

Forgiveness replaces sacrifice, but you can also sacrifice yourself through disease, accidents and death.

You can also sacrifice other people

Matt 12.7

"For You do not delight in sacrifice, or I would bring it; You take no pleasure in burnt offerings. The sacrifices of God are a broken spirit; a broken and a contrite heart, O God, You will not despise." (Ps. 51:16-17)

It all changed in 70 AD when the Romans sacked the temple in Jerusalem and the Jews no longer had an altar on which to offer sacrifices.  God's word clearly stated that no sacrifice was to be burnt but for on the altar at the tabernacle and, later, the temple. With the destruction of the temple and the exile of the Jews, there was no place to give a sacrifice authorized by God.