There is no way he didn't sign a non compete
BLAF: "Goldie...your fired."
10 mins later
BLAF: "uuuuhhh...Mike...by the way, as you're packing your box up could you please do a biggie for us and sign this non-compete clause as you're going out the door so that you can't find another job? Thanks buddy. You're a great employee.
Yeah..."there is no way" he didn't sign a non-competition clause as he's getting the boot out the door?!?!?! Fuck...some people are fucking stupid.
Often times your non-compete is actually in your contract, so it says that at the end of your contract you won't work directly for a competitor for x ammount of time. However, typically this is just enforced by a fine or requires a certain ammount of pay. Bellator could essentially factor that into a signing bonus (pretty common when dealing with NCA) or sign him now and just agree to wait until after his time expires.
There's also the chance that the non-compete only came into effect if he were to quit or be fired and that simply allowing his contract to expire didn't cause it to get into effect. Or that it only covered 60 days and it's already expired. There's a litany of options as to why/how he'd be able to work for them.
TL|DR: Goldie probably had a non-compete but it's either expired, will be expiring, or Bellator is just going to cover the cost of violating it.