There are almost no beneficial bacteria in water. What you basically did was fill the new tank with dirty water. You'll still need to cycle your tank, and the time needed will not be shortened at all. On top of that, you moved whatever pathogens are in your tank over to the new tank.
If you want to shorten the cycle time, you need to move filter media, and substrate. However for me, thats not a good idea. I know a lot of people do it. But to me, you're moving junk over to the new tank and cross contaminating it. I'm more of a purist.
If it were me, I'm sure you'll not like this, but I'd break the new tank down. Get rid of the fish. Sterilize the tank and re start it with a fishless cycle. Then add your fish and other stuff.