Introduction
Captain Commando's combos are not anything incredible, but they're somewhat strong and easy to confirm into. Sho and Captain Corridor are usually your best enders.
Explanation
">" denotes a chain.
"XX" denotes a cancel.
"," denotes a link.
"St." denotes a standing attack.
"Cr." denotes a crouching attack.
"D." denotes a dash. Dash before pressing the next button.
"SJ." denotes an attack while in Super Jump mode.
"J." denotes an attack while in Normal Jump mode.
Bread and Butter Combos
Cr. 
> Cr. 
> Cr. 
XX 
+ or 
+ 
D. St. 
> St. 
> St. 
XX +
Cr. > Cr. > Cr. XX + XX +
D. St. > St. > St. XX +
+ XX +
Used for hard callouts and raw punishes.
Ground to Air Combo
D. St. > St. > St. > Super Jump, SJ. > SJ. > SJ. > SJ.
D. St. > St. > St. > Super Jump, SJ. > SJ. > SJ. > SJ. > +
Corner Combos
Cr. > Cr. > Cr. XX +
Cr. > St. > Cr. XX + XX +
The Captain Corridor may not connect on some characters.
Cr. > Cr. > Cr. XX + (, Cr. > Cr. XX + )
Last part of the combo only guaranteed if the opponent doesn't mash to wake up faster.
Guard Break
Snap the opponent out, and call Genity ( + ) as soon as you can. The opponent will block the three hits. Wait a moment, then 
+ or + XX to break their guard.