Starter problems

It is unlikely that you did anything wrong unless you put the battery positive wire to both terminals of the starter. Basically the only way the starter will turn is if the trigger wire has 12 volts. So if you did not do this, then the solenoid on the replacement starter is shorted.

Here are some guides that will help with this issue:

https://youtu.be/5Jd2-wfIKOw

https://www.2carpros.com/articles/starter-not-working-repair

If this was not happening prior to the replacement then I would just take that starter back and have them replace it as they gave you a faulty one.

I attached the process below for replacing the starter in case you need them in the future. Thanks