The Good News of reconciliation is a thematic thread woven throughout the entirety of scripture, however, the Apostle Paul is the lone biblical author who employs the idea as a synonym for salvation and develops a theology of reconciliation in four passages: Romans 5:6-11, 2 Corinthians 5:16-6:2, Colossians 1:15-20, and Ephesians 2:11-19.
RLA's logo is derived from Colossians 1:20, "and through Him to reconcile everything to Himself by making peace through the blood of His cross - whether things on earth or things in heaven" (HCSB). God the Father is reconciling everything to Himself through (preposition of agency) Jesus, by making peace through (preposition of means) the blood of Jesus' cross.
Reconciliation requires that an accord of peace be entered into by parties estranged as the result of an unresolved conflict. God made peace with humans by sending Jesus to die on the cross for the sins of the world.
The cross symbolizes for us of the height, breath, length, and depth that God was willing to go to in order to be reconciled to humanity.
The peace sign, the universal icon of peace and arguably one of the most recognized symbols in the world, is inserted into the heart of the cross.
The "R" expresses God's heart and mission for global reconciliation.
The cross is colored red to illustrate that the cross by itself could not produce reconciliation, but it was the blood that Jesus shed on our behalf that was sufficient to satisfy the wrath of God (1 John 2:2, Hebrews 9:22).
The peace icon is olive green, which harkens back to the narrative of Noah and the Ark (Genesis 6-9). In Genesis 8:5-19 Noah sent a dove from the ark to determine if the flood waters had subsided, when the dove returned with an olive branch in its mouth, he understood this as a sign that God's wrath had passed and that His grace was now evident. From Genesis 8 to the present, people talk about "extending the olive branch" as a gesture of peace.
The "R" is blue to represent the reality that when viewing planet earth from outer space, the planet is predominantly blue because 75% of the earth's surface is covered by water. Therefore, the color blue highlights God's heart for global reconciliation. This is primarily important because Christians have a tendency to localize and limit God's salvific work to their immediate context, whereas the reality is that God is at work in all four corners of the earth.