Dumb question on Attacks

[Macgreine]

If I am reading this correctly it says that this guy does 4 attacks per full attack round? 2 with the right and 2 with the left? If not what is the +10/+5 after the morning star and the +9/+4 after the MW shortsword?

Bugbear Rgr4: CR 6; Medium Humanoid;
HD 3d8+4d10+14; hp 66; Init +4; Spd 30 ft.; AC 21, flatfooted
17, touch 14; BAB +6; Grp +10; Atk +2 morningstar
+12 melee (1d8+6; 1d8+8 vs. humans); Full Atk
+2 morningstar +10/+5 melee (1d8+6; 1d8+8 vs.
humans) and masterwork shortsword +9/+4 melee
(1d6+4/19-20; 1d6+6/19-20 vs. humans); SA favored
enemy (humans); SQ Animal companion (recently
deceased), combat style (two-weapon combat), darkvision,
scent, wild empathy; AL CE; SV Fort +8, Ref +12,
Will +3; Str 18, Dex 18, Con 15, Int 10, Wis 12, Cha 6.
Skills and Feats: Hide +11, Move Silently +15, Spot
+13 (+15 vs. humans), Survival +8; Alertness, Cleave,
Endurance, Power Attack, Track.
Spells Prepared (1; save DC = 11 + spell level): 1st
– entangle.
Possessions: +2 morningstar, masterwork shortsword,
+1 studded leather armor, 2 potions of cure light
wounds (CL 5th)

[Kazaan]

Not quite. His Bab is +6 meaning he gets 2 iterative attacks; one at +6 and another at +1. His attack bonus is +4 from strength, +1 on the shortsword because of Masterwork, and +2 on the morningstar because of Enhancement. So his iterative attacks with the sword are at a base of +11/+6 and with the morningstar are +12/+7. Now using two-handed fighting, he can get one extra attack from his off-hand. If his off-hand is the sword (a light weapon), then he attacks at -2 on all hits. If it's the morningstar (not a light weapon), then -4. So he could do the following (off-hand in italics):
Star +10/Sword +9/Star +5
Star +10/Sword +9/Sword +4
Sword +7/Star +8/Sword +2
Sword +7/Star +8/Star +3

[Macgreine]

Thank You I appreciate the clarification.

[Dust Raven]

I'm not sure if there is information missing from his listed feats. I see he has the two-weapon combat style (from classes in Ranger), but I see no actual two-weapon fighting or improved two-weapon fighting feats listed.

Presuming he only has two-weapon fighting, Kazaan's lists are correct (with the stat block implying a preference for Star +10/Sword +9/Star +5 or Star +10/Sword +9/Sword +4). If he does have both TWF and ITWF, his attack chain is exactly what it says in the stat block (Star +10/Sword +9/Star +5/Sword +4).

[Kazaan]

Shoot, I glanced at two-weapon combat but scumbag brain told me "Yeah, that's two-weapon fighting." In that case, yes, what I wrote only applies if he actually has the two-weapon fighting feat. If he has both twf and improved twf, then it's as Dust said. If he has neither feat, then the twf penalty for main/offhand is -8/-4 if he uses the sword off-hand and -10/-6 if he uses the star off-hand.