Both cooling fans come on when you turn car on or is just one supposed to come on and do both come on with A/C running?

Just confirming what you are asking. Are you saying that both fans come on when the engine is started? If so, is the A/C on when you start the engine?

Here is a guide that talks about electric fans in more detail:

https://www.2carpros.com/articles/how-an-electric-cooling-fan-works

The way these work is you left fan should be the coolant fan meaning it will come on when the engine gets warm to keep it from overheating.

If the engine gets close to 220-240 degrees then the other fan will come on to keep the engine cool.

The other fan is the condenser fan that will come on when the A/C is on. However this means that both fans will be on when the A/C is on because when the A/C comes on they make sure the engine will not overheat so they turn them both on.

Do both fans run when you start the engine and it is cold?

Just to be clear, you tap on the back of the fan and it kicks on?

If this is the case then yes, you need to replace the fan motor. You can confirm this by checking the voltage at the fan to see if it is being commanded on.

I attached the info below on how to do this from the manual.

Let me know if you have questions.