Is that on a company by company basis? Because I used to think the same until I saw a receipt from Panda Express that said to hold on to it so you can claim the donation on your taxes. Which would mean Panda can’t claim it on their taxes.

Incorrect. You get credit for the donation; it does not affect the company's taxes. Its just that most people don't claim the tax credit, because most of us don't donate enough to itemize rather than take the standard deduction.