The 20-year-old's father was one of the estimated 300,000 killed in the civil war that plagued Burundi, leading to him leave the capital of Bujumbura for Birmingham a decade ago.
During the game, Berahino slotted home simply from close range and showed a shirt with 'RIP Love U Dad' scrawled on it.
Berahino was booked for the gesture and will now miss England's next European Under-21 Championship qualifier but he soon had the second he craved, netting his sixth goal in four appearances for Southgate's unbeaten, table-topping side in stoppage time.
The striker told BT Sport: "I've had a few problems at home and I've been thinking about my dad and today I just wanted to do it for my dad.
"My mam's watching at home so I was just showing her that I still love my dad and always will.
"I was a bit disappointed (to get booked) because I was looking forward to (the next game against San Marino) but there's not much I can do. I'll just have to learn from that and not get another one the same way."
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