You can use a Broadlink RM4 Pro with 433 and 315 MHz devices.
As long as the device doesn't use rolling codes or some other complicated security scheme, the Broadlink remote might be a good and relatively cheap option: Broadlink IR/RF remotes integration (RM3 Mini, RM Pro, RM4 Mini/Pro)
You would also need a 433 MHz remote that you could pair to the shutter controller and use for learning the RF codes by the Broadlink remote.
