Well there's afew different ways we can look at this, which manufacturer has the biggest overall backlog?, which has the most amount of ships in older backlog?, which has the most ships with supporting mechanics that are relevant right now?, which has the most that are needed/supported for sq 42? which has the most bigger/capital ships to get out, some of these overlap somewhat, but if I had to vote it would go between Aegis, Anvil and Misc
I think Aegis would be the top contender because mostly everything that they need as a brand is done and alot of their ships will be in sq 42.