Generally white pants
Winter was 13 November through 12 March (Old Style) by regulations.
49th and 50th Jäger (formed from various garrison formations in 1811) did not get their issue of white pants (but may still have had white pants from their former uniforms). Possibly also true of 48th Jäger (at Borodino) and 47th Jäger (part of the Saint-Petersburg garrison).
Jäger from the Danube army (who were not at the battle of Borodino) arrived wearing "bloomers" in the summer of 1812 : loose, typically off-white un-dyed trousers tied with a drawstring and small tapes at the ankles. These became increasing common throughout the army in the spring of 1813 and into 1814.
In addition to green winter pants, Russian jäger were, by regulations, also distingushed by black leatherwork and black woodwork – this appears to have extended to blackend musket and rifle stocks, and by the lack of any flags or standards. They also had their regiment numbers on their cartridge pouches, not grenades.They appear not to have received brass-scaled chinstraps until after the peace, and had plain black leather straps instead.
Of course there were exceptions ….
In 1810, 14 infantry regiments were converted into jäger, the 33rd through 46th Jäger regiments. Some of these did not received issues of black leatherwork until 1813, and may not have tried blackening their existing leatherwork. Of the 14, 6 were at Borodino : the 33rd, 34th, 36th, 40th, 41st and 42nd Jäger.