You could use an approach with @property decorator, as mentioned, and turn all dataclass fields into field properties:
from dataclasses import dataclass
from datetime import datetime, date
@dataclass(kw_only=True)
class ChildTestProduct:
    t1: float
    t2: datetime | str
    @property
    def t1(self) -> str:
        return f'{self._t1:.2f}€'
    @t1.setter
    def t1(self, value: float):
        self._t1 = value
    @property
    def t2(self) -> str:
        return self._t2.strftime('%m/%d/%Y')
    @t2.setter
    def t2(self, value: datetime | str):
        if isinstance(value, str):
            self._t2 = datetime.strptime(value, '%m/%d/%y').date()
        else:
            self._t2 = value
p = ChildTestProduct(t1=99.9, t2='10/8/22')
print(p)  # ChildTestProduct(t1='99.90€', t2='10/08/2022')
assert isinstance(p._t1, float)
assert isinstance(p._t2, date)