The phrase "aftermath for instance" is not correct as it combines two phrases that do not logically fit together.
You can use "aftermath" to refer to the consequences or aftereffects of an event, and "for instance" to provide an example, but they should not be used together in this way.
Example: "The aftermath of the storm was devastating; for instance, many homes were destroyed."
Alternatives: "consequences, for example" or "results, such as".
An independent consultant's study of the department in the aftermath of Sept. 11, for instance, said that one of the department's urgent needs was to improve significantly its planning and training for dealing with major disasters, a requirement that would place a premium on the work of seasoned commanders.
In the aftermath of the shooting, for instance, a new gun control group, called Gays Against Guns, has formed with the mission of becoming something of a perpetual thorn in the side of the NRA.
In the aftermath of the Lombok earthquake, for instance, foreign nongovernmental organizations were told they were not needed.
In the aftermath of the Enron scandal, for instance, the "big four" audit firms ended up capturing most of Arthur Andersen's former clients.
It's focused around the news: for instance, in the aftermath of the election, we published data from the Electoral Reform Society.
For instance, in the aftermath of the execution of former Iraqi dictator Saddam Hussein, the country, which is mired in instability and violence, did not see a spike in carnage or an increase in damaged oil infrastructure.
For instance, in the aftermath of the 2008 financial collapse, the Federal Reserve literally made trillions of dollars in low interest loans to the largest Wall Street banks and hedge funds, and even to large foreign banks.
For instance, during the aftermath of the 1982 Falklands War, Crass used excerpts from speeches by Margaret Thatcher and Ronald Reagan to put together what even now is a very convincing-sounding telephone conversation between the two leaders.
Urban castles were particularly important in controlling centres of population and production, especially with an invading force, for instance in the aftermath of the Norman Conquest of England in the 11th century the majority of royal castles were built in or near towns.
For instance, instead of only showing the aftermath of a character violently dying in a flashback, they would allow it to unfold as it happened.
