If you just hook your ohm meter to the main speaker input,(speaker unplugged from the amp) that will tell you the health of the circuit. Most speakers are in the 6-8 ohm range. Then after documenting that value, Just gently, Ever so gently... work the complete moving part of the speaker in and out and see if your ohms go crazy.
You may see a small change due to the induction, but it should basically stay the same. An off center cone, caused by the gluing of the paper to the foam, can rub your coil and change your resistance. this can cause amplifiers to fail also.
In your case, if you have 0 ohms on one speaker and 8 ohms on the other, its pretty obvious its not going to make a sound.
You may notice the coil rubbing if the force you use to move the cone "in" is off center
I have refoamed speakers by the seat of my pants, but the right way to seat the speaker during glueing is to run a frequency into the unit while the glue is setting up.