If you want the short answer, then motion does not create a force. The force is what changes the velocity of a object.
The longer answer:
The classical equation to calculate a force acting on a object (excluding special and general relativity) is: $$F = m \frac{d^2x}{dt^2}$$
I think the confusion lies in this equation. If you substitute the acceleration of the object into this equation then it gives you a force. However, this does not mean that the acceleration creates a force, all it means is that if we know the acceleration then we know how strong the force has to be to create that acceleration.
However, forces are not fundamental. It is a way of measuring the strength of a interaction. The reason we need interactions in physics is because, even though objects moving at a constant velocity will always move at a constant velocity, the same does not apply to objects that are accelerating. Acceleration is the result of an external influence, unlike inertia. Fundamentally, interactions can be described as a field that fill up all of space. These fields cause objects with certain properties to change their motion. These fields are how attractive and repulsive forces mediate their influence, such as the electric field.
With electric fields, the strength of the force is determined not only by the charge of the particle attracting the second particle, but is also determined by the charge of the second particle as shown in the equation below:
$$F = \frac{1}{4 \pi \epsilon_0} \frac{q_1 q_2}{r^2}$$
Solving for acceleration we can find that:
$$a = \frac{1}{4 \pi \epsilon_0 m_2} \frac{q_1 q_2}{r^2}$$
With this we can deduce that the acceleration (or change in steady motion) is determined by both of the charges. This is where the rule for like charges repel and opposite charges attract. Because of the fact that $1 \times 1 = -1 \times -1 = 1 $ and $ -1 \times 1 = 1 \times -1 = -1$ with positive accelleration being repulsive and negative being attractive.
With gravity, it's a bit different. The equation for gravity is:
$$F = - G \frac{m_1 m_2}{r^2}$$
solving for accelleration we find that:
$$a = - G \frac{m_1}{r^2}$$
This means that all objects attracted by gravity get accelerated by the same amount and is completely independent from the particle getting attracted. This is why things attracted by gravity fall at the same rate
There is a way to seem that motion of one object can cause another object to change its motion, however, the way to describe this is through a field. When the first object moves, it interacts with the field and is in a different configuration than it was before, which changes how the second object moves. If the first object did not move, then the second object would be affected differently, which makes it seem that motion is what generated these forces. Objects are constantly interacting with these fields, which means the field tells objects how to move; objects tells the field how it should change. Which sounds suspiciously like John Wheeler's quote about general relativity.
Even in electromagnetism, where the magnetic field is dependent on the velocity of the object generating the field, the same concept can be applied. The velocity of the object changes the field configuration of the magnetic field which changes how charged objects will act in its vicinity.
There are four fundamental fields that permeate space: Gravity, Electromagnetism, Strong force, Weak force. These fields are the reason anything happens in the universe, without them there would be no change in motion. So in short: matter interacts with fields and fields interact with the matter, however movement is not the reason for why things have a force, the force is why things move.
Hope this helps :)
