We have a 1999 dodge durango which after changing the oxygen 1 sensor it started running rough what could have happened?

Question turned around for clarity.
Question moved to model category.

Bank one is drivers side.
Sensor 1 is closest to the engine and before the Catalytic Converter.
Sensor 2 is just after the Cat in the exhaust.

Same as this

https://www.2carpros.com/questions/where-is-the-bank-i-oxygen-sensor

More here. Check that the wiring is intact, as it is odd they have both failed.

https://www.google.com/search?q=2005+Dodge+Durango+4.7L+V8.+Bank+1+sensor+1+and+2

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Did you clean the Throttle body? That is often the cause of a rough idle.

The Fuel Air o2 sensor on the manifold is often hard to reach, but the downstream o2 sensor after the catalytic converter is easier to get to.

Code P0172 indicates Bank 1 of the engine has a rich fuel mixture. P0175 indicates Bank 2 of the engine has a rich fuel mixture. Engine Bank 1 is the same side of the engine as Engine Cylinder 1. Engine Bank 2 is the opposite side of the engine. A firing order and cylinder location diagram may be needed to see which side of the engine is Bank 1 or Bank 2.
P0172 is triggered by the engine bank 1?"upstream" oxygen sensor and P0175 is triggered by the engine bank 2 "upstream" oxygen sensor. The oxygen sensor alerts your system when the condition is too rich meaning there's too much fuel int the exhaust stream or too little oxygen in the exhaust stream. The symptoms and causes will help you determine the exact issue and how to fix it.
Your bank 1 or bank 2 sensors will be referred to as "sensor 1" or "sensor 2". Sensor 1 refers to "upstream" sensors, or the ones near the engine and before the catalytic converter. Sensor 2 is "downstream" or after the converter.

Location

https://www.google.com/search?q=2005+Dodge+Durango+4.7+engine+bank+2+upstream%E2%80%9D+oxygen+sensor+location

all about the code

https://www.google.com/search?q=2005+Dodge+Durango+4.7+P0175+code&

Battery condition?

https://www.dodgedurango.net/threads/05-4-7l-codes-p0172-and-p0175.77565/

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have the fault codes read
as the engine light also reports on transmission problems as well as the engine
changing oxygen sensors (O2) will not fix the problem as there is an heated oxygen sensor (HO2S) in the exhaust manifold that controls the air/fuel ration settings and that is affected by a vacuum /exhaust leak

Maybe Crank, or cam position sensors. throwing the timing off.

I have seen alot of governor pressure issues whith those and sometimes the oxygen sensor can short out they share the same ground so if whoever works on this changes governor solenoid and pressure switch bring this to there attention and change the 02 sensor at same time.

Black smoke is from an excessively rich mixture. Blue is oil, white is antifreeze.
Lots of possibilities.
If rough running, a fouled plug or shorting plugwire.
If uniform to all cylinders, plugged air cleaner, bad oxygen sensor, bad temperature sensor, bad air mass sensor, weak coil, retarded ignition, etc.
Start with a tune up.
Try a smaller sparkplug gap.
See if unplugging the oxygen sensor or temp sensor makes a difference. Each should.

either dead cell in battery or the idle air sensor or oxygen sensor going bad

The oxygen sensor is located on the passenger side of the vehichle, below front seating area, mounted in exhaust "Y" pipe.  Hope this helps!

The sensor is about the same as 1 hour labor time at the dealer, the sensor will not in most cases be defective with this code, something else is causing this engine to run rich.