The versatile full-back was wanted by Anfield boss Roy Hodgson, but he opted against a move and has gone on to play in all of Villa's Premier League games so far this season.
Liverpool instead signed Paul Konchesky, but the former Fulham player has not been able to help his new club in a torrid period both on an off the field as they sit in the relegation zone.
In contrast, Villa occupy eighth position in the table and Young is glad that he has been playing a regular role in his club's positive start to the campaign.
"I just felt that I perhaps had more of a chance, if I could get my head down and keep going, of getting in the first team at Aston Villa than I did of getting in at Liverpool," he said in the Daily Mirror.
"At 31, I didn't really want to go anywhere and, on matchday, feel I was there as a back-up.
"I pretty much knew that with Glen Johnson the England No.1 right-back at Anfield, I'd be watching in the Premier League and maybe playing in Europe.
"I had the feeling the offer was as kind of a back-up for left-back and right-back."