Here’s what you should do if you want both moves:
~If you bred that Growlithe yourself, breed again with the same parents until you get a female growlithe with Flare Blitz. Then use that female and breed it with the male Espeon with morning sun. After that you should get a growlithe that knows both those moves.
~ IF you didn't breed it yourself, get a ditto and breed it with that male arcanine or a wild female growlithe and start the previous method again.
Hope this helped.