Could be
This is the hardest part of a engine rebuild tracking all the little bugs I am not a master mechanic more of a shade tree learn from mistakes one.
But I have found that sometimes you need to back up and go back to the basics
You don't want to be throwing parts at it and hope one sticks.
I don't know your experience or how much you played a part in rebuilding the engine so please don't think I am talking down to you. I think this part of the rebuild can be the most difficult tracking down the little bugs.
Going by what you have said you here then engine sucking air when the throttle up and it dies.
The first thing are you using the remote to throttle or directly unhook the remote and move the throttle directly ( just don't have your face over the carb) The next thing i would ask is are you letting the engine warm up completely and I would hope you have installed a thermostat? shoot the thermostat housing with a laser temp gun.
Back to the basics check the timing and timing advance. Reset and adjust the carb to factory specs check the needles make sure the o-rings are good and the needle isn't buggerd. Check and measure you linkages and linkage timing. Those back barrels shouldn't be opening that fast. It has been a while but if I remember correctly part of the choke system actually blocks use till the engine warms up.
You could have your float adjustment wrong Holley carbs have two bowls primary and secondary the primary is your normal operating bowl secondary is for when you open the back barrels.
When you say your throttling up are you going to full throttle or is it cutting out at even a gentle throttle?
I would check out these links also
http://holley.com/TechService/Instructions.asp
I have another question was your rebuild kit a Holley kit or an after market?
Check this site too
http://www.bob2000.com/carb.htm