the intake assembly of new corolla is a bit different to what i know ,not sure it that ill work for u
the whole of stock intake assembly was taken out when isntalling long ram intake but even with long ram car wasnt performing at its full.there was a joint in stock kit,i took the advantage and used a rubber bend pipe to connect it with the heat shield filter
now the stock air filter assembly has no filter in it 
here are pix from the start of the stock intake aseembly n the modification
the stock assembly,the way it is connected.



this is what i had in mind,one end goes to stock box,other end with the rubber pipe goes to filter

also had to relocate the ground wiring as well,this is how it turned out





