God and Father Himself and our Lord Jesus Christ

“Now may our God and Father Himself, and our Lord Jesus Christ, direct our way to you; and the Lord make you to increase and abound in love one toward another, and toward all men, even as we also do toward you, to the end he may establish your hearts blameless in holiness before our God and Father, at the coming of our Lord Jesus with all his saints.”
—1 Thessalonians 3:11-13 WEB

Observe, Whom he prays to, namely, God and Christ. Prayer is a part of religious worship, and all religious worship is due unto God only. Prayer is here made to God, even the Father and our Father; and also to Christ, even our Lord Jesus Christ. Therefore Jesus Christ our Lord is God, even as God our Father is God. Prayer is to be offered to God as our Father. So Christ taught his disciples to pray; and so the Spirit of adoption prompts them to pray, to cry, Abba Father. Prayer is not only to be offered in the name of Christ, but offered up to Christ himself, as our Lord and our Saviour.
—Matthew Henry

Giving thanks to God the Father, through Him

And let the peace of God rule in your hearts, to which also you were called in one body; and be thankful.

Let the word of Christ dwell in you richly; in all wisdom teaching and admonishing one another with psalms, hymns, and spiritual songs, singing with grace in your heart to the Lord.

Whatever you do, in word or in deed, do all in the Name of the Lord Jesus, giving thanks to God the Father, through Him.

—Colossians 3:15-17

Prosagoge – Access

“the eternal purpose which He accomplished in Anointed/Christ Jesus our Lord, in Whom we have boldness and access [προσαγωγή / Prosagoge] in confidence through His faith”
—Ephesians 3.12

“Anointed/Christ once suffered concerning sins, the just for the unjust, that He might bring us to God; indeed being put to death in the flesh, but made alive in the Spirit”
—1 Peter 3.18

“to know the surpassing knowledge and love of Christ, that you may be filled to all the fullness of God
—Ephesians 3.19

“in Whom you also are being built together into a dwelling place of God in the Spirit”
—Ephesians 2.22

Original: προσαγωγή
Transliteration: Prosagoge
Phonetic: pros-ag-ogue-ay’
Definition:
1) the act of bringing to, a moving to

2) access, approach

a) to God, i.e. that relationship with God whereby we are acceptable to him and have assurance that he is favourably disposed towards us

Origin: from G4317 (cf G72)
Part of speech: Noun Feminine
Strong’s: From G4317 (compare G72); admission: – access.