Oscars lay on their sides quite often,especially when they are small.That's normal behavior,and will usually stop as they get older,but not always.
If the 1 Oscar doesn't have orange coloration,it's not a tiger oscar and wont get orange coloration later.The fish stores normally get them mixed up and just label them that way.
Feeding them live minnows,don't be surprised when they lose all color and have whitish type stripes,I call that "hunting mode" as they learn to hunt and get extremely aggressive during feeding.When they change color they 'seek and destroy' so be prepared,and don't be alarmed when you see it.It's pretty cool to watch.
As the others have already said,they will quickly outgrow the 20 gallon,within 2 months definitely.IF the dominant oscar doesn't kill the other within that time. A bigger aquarium is definitely needed in their future.
A larger than normal filter will help keep the water cleaner,but they are very messy eaters and have bad table manners.They also produce a lot of waste,so the more filtration you have the better.I would definitely go with a
canister filter.
Don't bother with trying to put plants or 'pretty' decorations in with them.They will tear up and severely abuse any decor you put in.Watch where you place your heater and filter inlet/outlet.They will constantly abuse it.My oscars have broke 2 heaters already.For decor stick with large rocks and
driftwood and a few hiding places. Once the dominance is established the other 1 will need a place to run to.Thay are very aggressive fish.
Once they get acclimated to their surroundings,they will come around and become more outgoing.Don't be fooled,as they get older,they will bite the hand that feeds them! They also love to jump.When they get bigger,you may need to put a weight on top of the hood to keep it down.Mine have knocked the hood off and took to carpet surfing.
Since your aquarium isn't cycled.Change the water everyday and you definitely want to get a good water test kit.API as mentioned is very good.