Does the Sun impose back it's tidal forces onto the Earth (such as the Earth's to the Moon)? It is known that each year the Moon is moving away from the Earth due to tidal forces.

What about the Earth relative to the Sun?
Yes - the earth and sun do have tidal forces like the moon and earth. There are two main reasons this is happening.


The sun is always losing mass due to nuclear reactions, the sun is always converting a tiny amount of its mass into energy. This means the pull on the earth is weakened.
The tidal forces that happen between the earth and moon also happen between the sun and earth, except on a much smaller scale.


The sun is also losing its angular momentum at a rate of 0.00003 seconds per year