What you will need to do this:
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8 GB USB Flshdrive

Step 1:
On your Xbox 360 transfer your Xbox Live account and Fallout New Vegas gamesave to your USB
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Step 2:
Put in your USB into your laptop or desktop
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Step 3:
Open up Modio and go to "Explore a device"
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Step 4:
Open until you get to your original save and move it to your desktop
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Step 5:
Go to "Download a Gamesave" and type in "Fallout New Vegas" in the search bar, then download the save you choose to your desktop
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Step 6:
Then go to "Open a save" and open your original save and the modded gamesave
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Step 7:
Delete the Profile ID and the Device ID on your original save and replace them with the modded gamesave Profile ID and Device ID
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Step 8:
Exit out of your original save and hit Rehash and Resign on the modded gamesave about 3 or 4 times
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Step 9:
Go back to "Explore a device" and replace your original save with your modded gamesave
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Then you are all good to go take out your USB and put it back into your Xbox 360 and transfer the save and your profile back to your Xbox and have fun.

This took me a good long 2 hours to make so please comment and Thank the Topic.
+Rep if you wish