"To accept the currency" means that someone is willing to use or receive a particular form of money as a means of payment for goods or services. Full definition
Most outlets accept major credit and debit cards and some will even accept the currency of your home country. (fiji.travel)
The company had been in works to begin accepting the currency for some time. (goldsilverbitcoin.com)
This is something most companies are aware of, and if they want to keep up they might be forced to start accepting the currency as well. (bitcoinist.com)