Sample Lord, teach us to pray. What Jesus gave the disciples was only a sample prayer. It was not a ritualistic form to be repeated over and over. Although many denominations recite this prayer during their Sunday services each week (along with other prayers). Nothing wrong with that.
Answer But to answer this Question, we merely need only go to all the prayers Jesus himself prayed during His 1/2 year ministry, and see how He prayed on other occasions. When we do so, we find a variety of prayers, each appealing to different needs, and asking the Father's direction, or intervention, in different wording.
Matthew 11:25-26; 17:21; 26:36-44; 27:46
Luke 3:21; 11:1; 22:32
John 11:41-42; 12:27-28; 17:1-26
Early Church We can also look at the scriptures in the rest of the New Testament, to see how the disciples prayed, and how they would have interpreted Jesus's saying: After this manner...
Acts 1:14; 4:24-31; 6:4; 12:5; 16:13
And then there are the Apostolic admonishments on how to pray found throughout their letters to the church congregations:
Romans 12:12,
Colossians 4:2,
Ephesians 6:18,
Philippians 4:6,
James 5:15-16,
1 Timothy 2:1.
Set Pattern? No, there is no set pattern, or wording, that is required when praying. God hears the feeblest of prayers of the weakest saints, as well as the most eloquently worded ones by theologians.
Sometimes the most eloquent prayer in a dire situation is merely, "Father, HELP!"