Talking to the language school front desk and I say:
I was at ELC language school in Pasadena and I really liked way they taught/teach so I'm thinking of going back to study there.
Are both okay here?
Shouldn't it be taught since it follows liked?
Add 'the' before 'ELC' and 'the' before 'way'.
The 'front desk' will presumably know that 'the ELC' is 'the English Language Centre', so delete 'language school' after it as it's redundant.
I am not a teacher.
In this situation I would probably say, 'I really like the way they teach…'.