NO! Bad idea, that male will kill the female. Get him a new bowl, but only for a temporary solution.
Male Bettas require a tank, prefraby 5 gallons, heated and filtered, with NO OTHER BETTAS IN IT. You can feed them on something like Hikari Betta Gold. Feed 2 pellets twice daily. The filter should be a filter without much current. A sponge filter will work. The tank should have decorations to keep the betta interested. Bloodworms can be fed as a treat every few days.
Female Bettas require either a heated and filtered 5 gallon tank, with the same requirements as a male betta. They could also be in a sorority, a tank where at least 3 other females live. The smallest this could be would be 9 gallons, where you could have 4 females total, a 10 gallon could have 5-6, and tanks can be much larger. If you plan on creating a sorority, remember that it will not be peaceful. The females will fight for dominance over the tank, as well as lower ranks.
Were you trying to breed them? I hate to be blunt, but that is not really feasible until you know more about the fish. It's a long and complicated practice, and if the fish store made it seem easy, you need to stop trusting their advice.
Keep in mind that bettas are tropical fish, and an unheated unfiltered bowl is not a good home.
Also, when you get a tank, you will need to choose whether to fish out or fish in cycle it. There are many pinned topics on cycling.
Here's a basic run through of fish in cycling:
You need:
•A water testing kit
•Your fish
•A siphon to do water changes
Fish produce ammonia as their waste. Ammonia is very toxic to fish, even in low levels, so bacteria need to build up that digest ammonia and turn it into nitrite. Nitrite is also toxic, so more bacteria develop which turn nitrite into nitrate.
With your fish in the aquarium, test 3 times a day (at least) for ammonia and nitrite. If either is registered, do a 50-60% water change. THen replace the water with dechlorinated water from your tap. These water changes can last up to around a month.
If you wish to speed cycling, get some mature filter media from the fish store. Most good fish stores should be able to get you some in a baggie. This contains bacteria which will speed your cycle.
Once you finish whichever cycling method you choose, you will have an established tank perfect for a betta fish.