First,many screens sold as original or oem are fake. They are genetics and the sellers on eBay or amazon lie.
This doesn’t mean it won’t work.
Did you disconnect the battery prior to repair? You ALWAYS want to disconnect it first. If not,when you connect a screen,it can short high voltage lines to low voltage lines if you connect it at a slight angle…the pins may go on cockeyed at first,for a split second shorting voltage. This can cause a quick surge(like a punch to the face) of electricity to damage components.
Have you taken it back apart? Did the old screen still work with Touch? If so,you should try it to rule out. If it stopped working at all after being cracked,the first thing to do is try a new screen…that is,as long as you have taken it back apart and disconnected and reconnected the screen to make sure it wasn’t a bad or loose connection.