The problem is the misleading term reaction. This implies that force A (the action) exists before its paired force B (the reaction), and causes force B to come into existence in response to applied force A.
This is wrong. Forces are always created in pairs, acting on different bodies. These paired forces describe the separate halves of an interaction between the two bodies.
When object A collides with object B, it transfers momentum to B but it does not transfer force. A has momentum before it comes into contact with B, but the force which A exerts on B does not exist until the balls come into contact. The paired forces always come into existence at the same time and cease to exist at the same time. At every instant they are always equal and opposite; they are simultaneously the cause and effect of each other.