Yes, they can.
Many bird owners add ground cinnamon to home-made bird bread or home-made bird oatmeal to feed their birds. Others place a cinnamon stick in the cage for the bird to occasionally nibble on.
Cinnamon has some benefits for birds:
I wouldn't feed your bird too much cinnamon however, maybe add it to the diet once or twice a week. Since cinnamon aids digestion, if they have too much, it could make their faeces watery and messy.
Many people don't realise that there are three different species of cinnamon. Ceylon cinnamon, Saigon cinnamon and Cassia cinnamon. The best and healthiest cinnamon for birds is Ceylon cinnamon, since it is easy for them to digest and is favoured by them over the other two.
It is best if you use organic cinnamon, since some pesticides used in foods can be toxic to some birds. And you should never use cinnamon that has added sugar. Sugary diets will harm birds. Honey however is fine and healthy (you can add a little honey to home-made bird breads too).
Look up some recipes for home-made bird bread, which you can add ground cinnamon to. The majority of bird breads can be made simply with everyday bird food, milk and millet.
The cinnamon-tailed-sparrow would probably eat seeds like most other birds.
Horses can eat cinnamon sticks, but it is usually better to give ground cinnamon to horses as there is less potential risk for the horse choking.
Honeycombs
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Yes, birds eat caterpillar, worms, earthworms, etc. birds do not eat other birds, other big birds eat such as falcons and hawks!
what do birds eat
what does snow birds eat
birds that eat penguins
Tropical Region Birds and Insectivorous Birds eat butterflies but there might be more birds that eat butterflies.
You do not eat tea, you drink it, when is up to you and your taste buds !!
Eat just the cinnamon from the sauce until the desired cinnamon content is achieved. It is best to do this with a bendy straw
Yes, birds do in fact eat eat sedges.