After a donation is made to an online LT Give campaign, donors will receive two receipts via email.  

They are:

Both receipts include full details of the donation, including the name of the campaign, donation date, donation $ amount, etc.  
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Livingtree Give email receipt example:

Note: As a campaign creator, you can customize the message included on the Livingtree Give email receipt (IE - to include tax deduction information, thank donors, describe what campaign funds are going to, etc).