The new covenant prayer is different, for it is governed by the rules of the new covenant. The New Testament is a new contract. It is the will of the Lord Jesus Christ, sealed with Jesus' own blood. It is established on better promises.
In the day that Jesus was teaching, they were operating under the Law. The prayer that Jesus taught His disciples to pray was under the old covenant. You will notice that it did not include the name of Jesus. New Testament prayer is prayed in the name of Jesus.

The new covenant prayer is different, for it is governed by the rules of the new covenant. The New Testament is a new contract.

It is the will of the Lord Jesus Christ, sealed with Jesus' own blood. It is established on better promises.

If the old had been perfect, it would not have been passed away; but finding fault with it, God made a new covenant (see Hebrews 8:6-8). And this is your new contract.

There are many people that have been saved and filled with the Spirit for years, yet have never read their contract. They are quick to tell you that you never know what God will do. They don't realize that their new contract reveals what He will do!
And in that day ye shall ask me nothing. Verily, verily, I say unto you, Whatsoever ye shall ask the Father in my name, he will give it you.
(John 16:23)
Here Jesus is beginning to teach the disciples new covenant rules for prayer.

"In that day...." What day is He talking about? After the day of Pentecost, when the Holy Ghost has come. In that day when the new covenant is in operation then ye shall ask me nothing.

You see, Jesus supplied every need the disciples had while He was with them. He also fed the multitude in the wilderness.

When Peter needed some tax money, Jesus told him to go fishing and the first fish he caught would have tax money in its mouth. Jesus healed the sick, raised the dead, and cast out demons.

Even with all this taking place, He turned to them one day and said, "It is expedient for you (or it is better for you) that I go away, for if I go not away, the Comforter will not come unto you" (John 16:7).

In other words, "Until I go away, the Holy Ghost will not come and the new covenant will not be in force." Jesus said that this new covenant was even better for us than if He had stayed here on earth.
He that believeth on me, the works that I do shall be do also; because I go unto my Father.
(John 14:12)
We were to do the greater works after the Holy Ghost came.

Source: Releasing God's Power Through Prayer by Charles Capps.
Excerpt permission granted by Harrison House Publishers