[12] On 1 April 2021, Mora won the gold medal in the 200 metre backstroke at the 2021 Italian National Spring Championships with a personal best time of 1:57.23, which was 0.27 seconds faster than the Olympic qualifying time of 1:57.50 for the 2020 Summer Olympics and 0.46 seconds faster than silver medalist Matteo Restivo.

[17] In the preliminaries of his third and final event two days later, the 200 metre backstroke, he ranked tenth with a time of 1:58.48, which was 3.81 seconds behind first-ranked Luke Greenbank of Great Britain and qualified him for the semifinals.

[19] At the 2021 European Short Course Championships, held in the Palace of Water Sports in Kazan, Russia, Mora placed sixth in the 50 metre backstroke final with a time of 23.19 seconds.

[21][22] For his third and final individual event, he swam a 1:52.73 in the prelims heats of the 200 metre backstroke, qualifying for the semifinals later the same day.

[45][51] By the end of the 2021 season, out of the 488 swimmers who had competed in the International Swimming League between 2019 and 2021 and earned positive most valuable player points, he ranked 195th.

[53] He swam a 1:50.27 in the 200 metre backstroke, finishing over 3 seconds ahead of the next fastest competitor and winning his third event of the Championships.

[59] In the morning preliminary heats of the 50 metre backstroke on day three, he advanced to the semifinals tied in ranking for eighth with his time of 23.49 seconds.

[60] For the semifinals, he and Shaine Casas both achieved a time of 23.13 seconds and qualified for the final tied in rank for fourth overall.

[63][64] He led-off the 4×50 metre medley relay in the preliminaries with a split of 23.65 on day five, contributing to a time of 1:33.60 and ranking of fifth heading into the final.

[71] At the 2022 Mediterranean Games held in Oran, Algeria, Mora swam a 55.09 in the preliminaries of the 100 metre backstroke, qualifying for the final.

[76][77] The following day, he split a 54.73 for the backstroke leg of the 4×100 metre medley relay in the final to help achieve a time of 3:35.77, with finals relay teammates Alessandro Pinzuti (breaststroke), Matteo Rivolta (butterfly), and Alessandro Bori (freestyle), and win the gold medal.

[81][82][83] Following his performances at the Mediterranean Games, Mora was named to the official Team Italy roster for the 2022 European Aquatics Championships in Rome in August.

[84] On day two of the 2022 European Aquatics Championships, held in Rome, Mora ranked eleventh in the preliminaries of the 200 metre backstroke, qualifying for the semifinals with a time of 1:59.18.

[90][91] On day four, he placed eleventh in the preliminaries of the 50 metre backstroke with a time of 25.18 seconds and did not advance to the semifinals as he was not one of the two fastest swimmers representing Italy.

[102][103] The next morning, he helped qualify the 4×50 metre mixed medley relay to the final ranking sixth with a backstroke time of 23.17 in the preliminaries.

[104] Dipping to a 22.59 for the backstroke leg of the relay in the final, he helped win the silver medal with a European record time of 1:36.01.

[105][106][107] He capped the day off with an Italian record of 49.04 seconds in the final of the 100 metre backstroke, which earned him the silver medal in the event.

[118][119][120] He followed up with a 49.48 lead-off for the backstroke leg of the 4×100 metre medley relay, contributing to a bronze medal-winning European record time of 3:19.06.

[120] With a time of 25.20 seconds in the final of the 50 metre backstroke on day one of the 2023 Italian National Championships, 13 April in Riccione, Mora placed fourth.

[123] In the 200 metre backstroke on day four, he won the silver medal with a time of 1:57.60, finishing 0.64 seconds behind gold medalist Matteo Restivo.