They have an impact on the grains, the plants that grow on this planet. The ancient people had a science of tracking this connection. A particular part of your body is also connected to this, like they said that the planet Mars is connected to the liver and is also connected to chickpeas.
Similarly the Sun is connected to the eyes and rice. Sesame seed, teeth, crow and Saturn are connected in the same way.
Each animal brings down certain cosmic vibration onto the planet. So the Divine forces, Devas are carried onto the planet by certain specific things. Remember Devas are not Brahman.
Devas are particular energy patterns in the universe. Like when sunlight passes through a prism, it gives 7 colours. Each colour has some definite function. Every element absorbs all other colours except one and that's how this world is colourful.
If something appears green, it is because it absorbs all other colours so it reflects the green colour. If this phenomenon does not happen, we would be living in a black and white universe, like the black and white movies in the olden days - Charlie Chaplin, I love Lucy.
If you can compare white light with the Paramatma or the Self, the specific aspect of this Self, the colour is the Devas. Take your own body for example. You need a doctor for the heart, one for ENT. A cardiac surgeon is different from a neurologist. A neurologist is different from a urologist.
A urologist is different from an orthopedic surgeon. You have different doctors to attend to one single body. Similarly there are different Devatas for different parts of the body. When the vedic Rudrabhishekham is done, you invoke different devas for the different parts of the body.
A particular deva is like that particular divine light, a particular aspect of the ethereal Brahman. Knowledge about the subtle, the spiritual knowledge is Vidya. The spiritual and the material knowledge have to be combined.
You have to go with both. If a doctor is proficient only in orthopaedics, he will be incomplete. If you have some stomach problem, he can only treat the bones. You need the complete picture of the subtle and the gross.
Those who are engaged in studying the gross are incomplete and those who are engaged in studying the subtle are also incomplete. You need a good mix - n - match of both and this is what they are saying.