Should there be a linear force acting aside from torque?

Assume to identical motors are placed vertically on-top of a table and they are not fixed able to move/fall etc...and they have gears attached to them and are attached to one another like this image:

Now, I powered both motors, and the torques of the two are the same and opposing one another as illustrated here:

OR:

What I think would intuitively happen due to the two torques($t_1$ & $t_2$) being the same and opposing one another is that the rotors/gears would be at rest. However, is there a form of linear force acting on the motors? Due to them opposing one another would that cause the first or second motor to fall from the table due to a unknown linear force?