His grandfather, Leonid Khachaturov, is the Chairman of the Coaching Council of the Figure Skating Federation of Russia (FFKKR).

[1] Based in Moscow, the two were coached by Larisa Filina before switching to Alexander Zhulin and Oleg Volkov.

[3] They debuted on the ISU Junior Grand Prix series in September 2012, finishing 8th in Istanbul, Turkey.

Morozov/Bagin made their international and Grand Prix debut during the 2018–19 season by receiving the Russian host pick slot at the 2018 Rostelecom Cup.

The team completed their season at home at the 2019 Russian Figure Skating Championships, where they again finished eighth.

In December 2019, Morozov/Bagin earned their highest placement to date at the 2020 Russian Figure Skating Championships, finishing just off the podium in fourth behind bronze medalists Zahorski/Guerreiro.

[8] With defending national champions Sinitsina/Katsalapov sitting out the 2021 Russian Championships due to COVID-19 infection, the bronze medal position on the podium was widely perceived as a close contest among several teams, Morozov/Bagin among them.

[12][13] Morozov and Bagin had previously been contemplating a free dance based on Nikolai Rimsky-Korsakov's Scheherazade, but had put away the idea after the onset of the pandemic.

They revived the concept for the 2021–22 season, Morozov noting that they hoped "the way we portray the characters and even costume-wise and movements" were "a little bit different" from the famous free dance of Americans Davis/Charlie White.