Mongol horsearchers: comp shortbows or comp longbows?

My 3.5 representation:
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CN Human Ranger 4
4d8+4 (25 hp)
Init +3
Spd 30ft
AC 18 (+3 dex, +1 shield, +4 armor)
Bow +8 (1d8+2, x3, 110ft)
Saber +9 (1d6+2, 19-20/x2)
Favored Enemy (humans or animals) +2, Wild Empathy +5, Animal Companion (1 bonus trick, link, share spells)
1 - (1st level spell)
F+5, R+7, W+2
Str 14, Dex 16, Con 12, Int 10, Wis 13, Cha 8
Animal Affinity, Mounted Combat, Track, Rapid Shot, Mounted Archery, Endurance
Geography 4, Handle Animal 8, Listen 8, Nature 7, Ride 10, Search 5, Spot 8, Survival 8/10/12
Common
MW Mty Comp Longbow (+2), x40 Arrows, MW Saber*, MW Chain Shirt, MW Buckler, Riding Saddle, Light Warhorse Animal Companion,
Wand of Longstrider (x20 Charges), Wand of Cure Light Wounds (x20 Charges), Scroll Case (Barkskin CL 5, Cats Grace CL 3,
Entangle CL 1, Protection from Energy CL 3, Spike Growth CL 3), Oil of Shield (CL 2), Oil of Magic Weapon (CL 2), Potion of
Protection from Arrows, Potion of Shield of Faith +2 (CL 2), 103gp for whatever else (basic gear, special material arrows, etc)

*from the forgotten realms campaign setting