The difference in shadows during a lunar eclipse and a solar eclipse is due to the relative positions and sizes of the Earth, Moon, and Sun.
During a lunar eclipse, the Earth is positioned between the Sun and the Moon. The Earth blocks direct sunlight from reaching the Moon, causing the Moon to pass through the Earth's shadow. This shadow is cone-shaped and has two distinct regions: the penumbra, which is a partial shadow, and the umbra, which is a total shadow. When the Moon is completely within the umbra, we observe a total lunar eclipse. The Earth's atmosphere refracts some sunlight, bending it around the Earth and giving the Moon a reddish hue.
On the other hand, during a solar eclipse, the Moon comes between the Earth and the Sun. The Moon's shadow falls on a small region of the Earth's surface. The Moon appears to block out the Sun, creating a shadow on the Earth. This shadow is relatively small and localized, typically only covering a narrow path on the Earth's surface known as the path of totality. In areas outside the path of totality, a partial solar eclipse is observed, where only a portion of the Sun is blocked by the Moon.
The main reason why the Moon does not have a shadow during a solar eclipse is that the Moon itself does not emit light. It reflects sunlight, but it doesn't have a significant light source of its own. Therefore, when the Moon is positioned between the Earth and the Sun, it blocks the direct sunlight from reaching certain parts of the Earth, but there is no corresponding shadow cast on the Moon itself.