1. Solution Summary
FlatButton and RaisedButton are deprecated.
So, you can use shape which placed in the style property, for TextButton and ElevatedButton.
There are some changes since Flutter 2.0:
style: the property type has changed toButtonStyleshape: the property type has changed toMaterialStateProperty<T>
2. Rounded Button
Inside the style property exists the shape property:
style: ButtonStyle(
shape: MaterialStateProperty.all<RoundedRectangleBorder>(
RoundedRectangleBorder(
borderRadius: BorderRadius.circular(18.0),
side: BorderSide(color: Colors.red)
)
)
)

Square Button
For a square button you can use ElevatedButton or otherwise add:
style: ButtonStyle(
shape: MaterialStateProperty.all<RoundedRectangleBorder>(
RoundedRectangleBorder(
borderRadius: BorderRadius.zero,
side: BorderSide(color: Colors.red)
)
)
)

Complete Example
Row(
mainAxisAlignment: MainAxisAlignment.end,
children: [
TextButton(
child: Text(
"Add to cart".toUpperCase(),
style: TextStyle(fontSize: 14)
),
style: ButtonStyle(
padding: MaterialStateProperty.all<EdgeInsets>(EdgeInsets.all(15)),
foregroundColor: MaterialStateProperty.all<Color>(Colors.red),
shape: MaterialStateProperty.all<RoundedRectangleBorder>(
RoundedRectangleBorder(
borderRadius: BorderRadius.circular(18.0),
side: BorderSide(color: Colors.red)
)
)
),
onPressed: () => null
),
SizedBox(width: 10),
ElevatedButton(
child: Text(
"Buy now".toUpperCase(),
style: TextStyle(fontSize: 14)
),
style: ButtonStyle(
foregroundColor: MaterialStateProperty.all<Color>(Colors.white),
backgroundColor: MaterialStateProperty.all<Color>(Colors.red),
shape: MaterialStateProperty.all<RoundedRectangleBorder>(
RoundedRectangleBorder(
borderRadius: BorderRadius.zero,
side: BorderSide(color: Colors.red)
)
)
),
onPressed: () => null
)
]
)