God says we can eat animals.
I have many religious friends who are Vegan. They have their own connections to Gods and spirituality, but at the same time live the most compassionate lifestyle, being Vegan.
I haven't seen any religion that mandates eating meat, sure parts of the Bible says you can. The Bible also says 'thou shalt not kill'. This should be regarded for animals too.
Many religions have positive overlaps, make the world kinder, more peaceful and treat others the way you want to be treated, This is where Veganism comes in, treat others the way you want to be treated, not killed or used for food.
A really helpful site for people looking into a Vegan lifestyle is Veganuary.