No. Just because your business is registered in the US, it does not mean you'll need to pay taxes.
If your business is setup as an LLC and you meet all of the following criteria:
You’re not a US resident or citizen
Don't have employees or operate within the US
Don't have a physical US office with American employees
Don't operate a brick and mortar business
Then you are not a US tax resident and are generally not required to pay taxes in the US.
Keep in mind, your business will still need to file annual tax returns as a non-resident.
For tax advice specific to your business, we recommend consulting a tax professional. This article is provided for educational purposes only.