Difference between Be put into execution and Be put to execution

be put into execution—(also: be carried into execution) be carried out:

• The plan was put into execution and this was the beginning of the manufacture of woolen fabrics.

be put to execution—1. = be put into execution:

• The plan was put to execution, and the group of three moved down, alongside of the rocky wall.

2. suffer the penalty of death:

• Michael Malik was put to execution in Trinidad. He was accused of murdering a British woman Gale Benson…