'Offer' in the Bible

Do not go on offering members of your body to sin as instruments of wickedness. But offer yourselves to God [in a decisive act] as those alive [raised] from the dead [to a new life], and your members [all of your abilities—sanctified, set apart] as instruments of righteousness [yielded] to God.

In the same way the Spirit [comes to us and] helps us in our weakness. We do not know what prayer to offer or how to offer it as we should, but the Spirit Himself [knows our need and at the right time] intercedes on our behalf with sighs and groanings too deep for words.