Reinforcing a replacement behavior while simultaneously putting a behavior into extinction is called

Differential reinforcement

Explanation:

Differential reinforcement: In psychology, the term differential reinforcement is defined as the phenomenon in which only appropriate or required response in being implemented with the reinforcement and therefore extinction (formerly reinforced behavior encounters reinforcement discontinuity) is applied to that of all other responses.

Types:

1. Differential reinforcement of low rates or DRL.

2. Differential reinforcement of incompatible behavior or DRI.

3. Differential reinforcement of other behavior or DRO.

4. Differential reinforcement of alternative behavior or DRA.