I think not a good choice for judging that car has AT, as its giving jerks. Based on my limited knowledge, jerks can be experienced in these both types of transmissions, and if you'll pour wrong transmission oil, then issues can aggravate.
I have checked, and have found that Toyota Passo used to come with 4 Speed Forward Automatic transmission 4AT, from its origin, i.e. December 2004, till December 2009, or January 2010. After February 2010, CVT was introduced instead of AT.
So, it can mean that your 2005 model year Passo is equipped with 4AT.
Source: https://jp.center/m?name=catalog&mnf_id=1&mdl_id=134
If oil was authentic and meeting OEM requirements, and there was not anything physically wrong with the transmission, and it was working absolutely fine previously, then I fear mechanic has messed up something while changing ATF.