Hi Makayla,
I'm curious as to what instructions you used, as the screen replacement guide here on iFixit includes explicit instructions (starting on Step 25) for disconnecting the battery. That's done because LCD displays like yours require higher power to run the backlight and even a slight misalignment of the display connector can short out the backlight.
So the first thing I'd check is to see if the backlight is out. You can do this by holding a flashlight at an angle against the screen in a darkened room and see if you can make out an image. If so, that would pretty much confirm the backlight is dead; unfortunately if that's the case you'll need to replace the screen again.
Now, when you say it won't turn on, are you saying it's completely dead, or that there's no picture? Is it recognized when you plug it into a computer? Do you get any kind of chimes or vibration when you power it on or plug in a charger?
Check the backlight theory and let us know what you find. If it is the backlight and your old screen is still functional, try plugging the original back in to verify that it still works normally. Of course, this time you'll unplug the battery first, and plug it back in as the very last thing you do, right?
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