The deceased were identified as Jamina Sultana Inu, 20, wife of Abdur Rahman from Chandraganj in Lakshmipur district, and their 2-year-old daughter Fatema Akhter.
Rahman, the husband of the deceased Fatema, the CNG driver who was injured in the accident, said he, along with his wife and daughter, was going to Chauhmuni Bazar in Noakhali.
When he was crossing Amin Bazar in Begumganj upazila, a speeding truck came from behind and hit his autorickshaw, leaving his wife and daughter seriously injured.
Later, with the help of locals, they were rescued and taken to the 150-bed Begumganj Upazila Health Complex, where doctors declared Inu and her daughter Fatema dead, reports UNB.
Rahman received primary treatment at the hospital.
Mobarak Hossain Bhuiyan, officer-in-charge (OC) of Chandraganj Highway Police, said locals caught the truck driver and handed him over to the police with the vehicle.
The bodies were sent to the 250-bed Noakhali General Hospital morgue for autopsies, he added.