BERLIN, Dec 16 (Reuters) - Adidas (ADSGn.DE) plans to buy back up to 4 billion euros ($4.54 billion) of its shares by 2025 and will also return the majority of the cash proceeds from the sale of Reebok, it said on Thursday. The German sportswear company said it will cancel most of the shares repurchased during the programme, which would reduce the number of shares as well as share capital accordingly. The buyback will start in January 2022 and run until 2025, it said. The move is part of plans announced by Adidas earlier this year to return up to 9 billion euros to its shareholders in the next five years, through dividend payouts of between 30% and 50% of net income from continuing operations along with share buybacks. "Over the next couple of years, our business will generate significantly more cash than ever before," Chief Financial Officer Harm Ohlmeyer said in a statement. The company will also pass on to shareholders the majority of the cash proceeds from the divesture of U.S. subsidiary Reebok, which it expects to be finished in the first quarter of 2022, it said. In August, Adidas said it was selling Reebok to Authentic Brands Group (ABG) for up to 2.1 billion euros ($2.5 billion) as the company concentrates on its core brand. read more ($1 = 0.8820 euros)