If you are talking about captains in the generic sense, no they were not important enough to warrant their own livery or badge, but the 'Captains' appointed by the crown to lead the Ordonnance (and later the Bandes Francaise) Companies were effectively battalion commanders and from what I can gather were obliged to choose a livery for their men, which would later evolve into 'Colonels' of regiments choosing the uniform colours of their men in the 17th Century.
I cannot provide any sources, but I imagine that contingents of Francs-Archer from the towns and cities would wear municipal livery and badges. The members of various shooting societies North of the Seine would likely have their own livery and badges too.
Some form of livery for the bulk of the Francs-Archer might have existed, especially as the Crown increasingly provided 'Royal' equipment and armour to make up for the lack of it amongst their 'volunteers'... it got so bad that they were actually providing clothing for them at one point.
The Bandes Francaise would also have a uniform and almost certainly each of their appointed Captains would clothe his men in a 'uniform', just like the Ordonnance Captains.
Pretty much the same practice was already in use in Brittany and Burgundy (not everyone wore Blue and White), although across the board, few details of colours and badges have survived.
This was a period where the Crown was increasingly being separated from reliance on the aristocracy to provide its forces. While the nobility still served, they did so as individuals and not the commanders of retinues they had raised themselves.
Many aristocrats were freed from the need to serve in return for cash to hire professionals, allowing them to stick to enjoying the pleasures of their estates, oppress their peasants and to begin to set things up for the Revolution.
