Most non-aerobatic aircraft have, for various aerodynamic reasons, cambered wings. That means that if one imagines a centre line through the cross section of the wing travelling from the leading to trailing edge that line is curved. A wing this shape can produce lift upside down (but is not very good at it), because much of the lift is derived from the angle of attack at which the wing is presented to the oncoming airflow, so that if the horizontal stabiliser is used to make sure that in inverted flight that there is a positive angle of attack, lift will be produced.
Aerobatic aircraft tend to have non-cambered wings i.e. the cross section looks identical which every way up it is. As long as an appropriate angle of attack is maintained this sort of wing can produce as much lift inverted as it can the right way up.
If lift were solely a result of the cross sectional shape of the wing, then no cambered wing aircraft could fly upside down. But it isn't. It has more to do with a a wingish shaped construction maintaining a positive angle of attack.