The only way to gat a higher BAB (Base attack bonus) is to gain levels. DOn't confuse BAB with Attack Bonus. AB also includes ability cores, gear and magic.
BAB. e.g.
1/1 Fighter will get to BAB 6 in 6 lvls...: Progression = 1, 1, 1, 1, 1, 1, 1
3/4 Rogue will get to BAB 6 in 8 lvls ...: Progression= 0, 1, 1, 1, 0, 1, 1, 1
1/2 Sorc will get to BAB 6 in 12 lvls...: Progresion - 0, 1, 0, 1, 0, 1, 0, 1, etc
One reason to multiclas with ftr or any other 1/1 BAB class is to qualify for a prestige class earlier. Another reason to get 4 of a 1/1 class before lvl20 is that it wil give you an extra attack per round. (AA is a 1/1 BAB class tho so sorc12/aa8 =14 BAB. If you can increase that to 16 BAB you'll get an extra attack per round (APR)).
One very clever tactic for a sorc is to take a single lvl of cleric on a lvl with a feat and get divine might which adds your cha modifier to your damage. If you have good scrolls in your environment, divine power scrolls will also add a lot to your AB. The downside is you need power attack first and sorc has few enough feats already. But it is possible. I have a sorc26/AA13/cleric1 and she is deadly. Full power spells and an attack as good as a rogue with +20 to damage. Of course, most sorc don't have str 13. Maybe one for next time?
Have fun :)