help clauses of purpose

so that\in order that
positive purpose
He didn't put on a mask so that his wife could\would recognized him CZY RECOGNIZE ?
he won't put on a mask so that his wife can \will recognises him czy recognize?
pytam bo moja nauczycielka napisala pierwsza wersje ktora wydaje sie niewiarygodna

could/would recognise

rozumiem, ze chciales napisac can/will, a nie oba slowa obok siebie w jednym zdaniu?