Praying in the new covenant is totally different from that of the old covenant.
We pray in seated position with Him; from the victory point of view; in view of His inheritance bestowed on us; based on faith in the finished work of Christ on the cross and His resurrection. ...And so all the begging and pleading that we used to go along with prayer are basically an old covenant thinking.
We are not slaves but sons of God. We do not beg but we need to know what our Heavenly Father has in store for us through His only begotten Son, Jesus, so that we can claim them with rejoicing in our prayers.
Please click this link A Call to Prayer which gives us some insight on new covenant praying.
Other related links on prayer that you may be interested are :
An uplifting prayer by Paul for the saints from the position of the finished work of Jesus
Prayer with understanding
Simplicity of prayer