This blog
here has these Gardes Francaises flags at the start of Louis XV's reign in 1715. There seems to have been 18 fleur de lys in each corner (with a white cross dividing the flag into four corners) for one version of the flag with a blue background, but not for the other version with has a white background. Both types have a crown at each end of the cross. the version with the blue background has fleur de lys (18 in each corner) in the flag. So my suspicion is that by 1715, the first and second companies would have had the blue background, while the 3rd and 4th would have had the white one. But Im unsure how many companies each regiment had (it may have been two, and those images (see below) may be showing the front and back of the same flag on each row).
Image.
Likewise for the Gardes Suisses, there seems to have been two flags. One coloured and one with an identical pattern but just the white colour at least during the War of the Spanish Succession.
https://onelover-ray.blogspot.com/2015/ ... isses.html
This website shows some information on the number of battalions in French regiments during Louis XIV's wars. Some had 2 or 3 battalions.
http://www.spanishsuccession.nl/armies/ ... ments.html