How could you keep an object's acceleration the same if the force acting on the object were doubled?

If you double the force, but want to keep acceleration the same, then you must double the mass as well.

If the force on an object suddenly doubles, but for some reason you want
the object to keep the same acceleration, then you have only two choices:

#1). Immediately apply another new force to the object, in the direction opposite
to the first force, and equal to what the first force was before it doubled.

#2).  Somehow ... while it's accelerating ... glue more pieces onto the object
sufficient to double its mass.

Transfer of electrons. hope it !