For Google's Cloud Translation API you can choose between the standard Neural Machine Translation (NMT) model or the "Translation LLM (Google's newest highest quality LLM-style translation model)".

https://cloud.google.com/translate/docs/advanced/translating...

DeepL also has a translation LLM, which they claim is 1.4-1.7x better than their classic model: https://www.deepl.com/en/blog/next-gen-language-model