Broke off transmission wire connectors

Have a 2005 RX8 that I am doing an engine swap on. We managed to get the "new" engine in and are in the process of hooking everything up. Unfortunately, it seems that when we pulled the old engine out the two wires that connect the transmission to the engine wiring harness broke.

I have attached a picture of the wires I am talking about. The connector heads basically came off. One came off the transmission wire, and the other came off the engine wiring harness. Is it possible to reconnect the plug to the wire itself? Or are there any other options?

Thanks for the help!

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Broke off transmission wire connectors