Translation:I don't drink tea either.
"too" strikes me as a total no-go. "Also" seems ok to me depending on what "also" means here. "I don't drink coffee, beer, or wine. I also don't drink tea," seems ok. But "I don't drink tea, either" is much more natural if someone else has mentioned not drinking tea, although I wouldn't go so far as to call the "also" version flat-out wrong, either.
I don't know if this Chinese sentence is limited to only one of these situations or covers both.