There may be sound scientific reasons some examples of weather lore, some of which can be found online:-
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scientific-basis weather-lore
However, most of them are 'incomplete' or inaccurate in relation to the Red Sky phenomenon, so I wrote one which encompasses the main issues.
Red Skies.
The colour of the sky, in general, is due to light being scattered by particles in the atmosphere; a process known as called Rayleigh scattering although there is some dispute over who discovered it. Smaller wavelengths (blue) are scattered by smaller particles and by larger angles; this is why the sky is blue, due to the high scattering angles of short wavelength blue light at angles and distances far away from the sun. Conversely, a red sky, means that the blue, yellow and all colours other than red have been removed by the scattering process above, leaving only the red. Red is long wavelength light and is generally scattered by small angles and larger particles; the small angles restrict the redness to near the sun, or reflections of such light from clouds; whereas the large particles imply the air is dry, otherwise moisture would have condensed on the particles and brought them to earth. For our purposes, we need only consider 3 colours, long wavelength red, short wavelength blue, and the average mid wavelength colour of sunlight: yellow!In the middle latitudes the prevailing trade winds and drift of weather systems are from the west. Therefore, what you see in the west in the evening, tells you about what's coming, but what you see in the east in the morning, tells you what's just passed overnight, which is a good indicator of what is imminent, if not already present, depending on whether the light is shining through the new weather system, which begins in the higher atmosphere.
A deep red light, near the evening sun, indicates scattering of longer wavelengths (red) by smaller angles (near the sun) from many large particles, the blue is effectively scattered out and blocked entirely. Many large particles after day infer dry dusty air to the west associated with approaching anti-cyclones and the likelihood of good weather.
A red sky in the east is a little more complex and difficult to explain; the colour is not such a deep red, is generally more orange, indicating more yellow in the light; and it does not diverge as far as the deep red does from the evening sun, which tends to spread over much more of the sky near the horizon. Both these factors, the yellow colour and less divergence from the sun (or reflecting clouds) indicate that the scattering particle sizes are smaller and fewer. Moreover, since the morning sun shines through cool night air rather than the warmer evening air, the morning air is quite dust free - any moisture in the air would condense onto dust and fall out of the air as dew during the night. So the morning orange (or yellowish-red) colour is due predominantly to fewer large particles and moisture higher in the eastern sky, where the advancing damp frontal system has already reached, with more to follow soon, so a poor indicator of the weather. (This is a shortcut explanation: a little inaccuracy, saves a lot of detail!)
In fact, in general, an orange or yellow sky, either east or west, in Ireland, generally means rain, whereas a deep red in the evening generally means dry settled weather.