Hi,
For the invoice number, it's configured properly to do that.
So you should already have the invoice number reset like you want at each new year.
However, there is no such capability for the order number. The order number is based on the order_id which is incremented automatically by MySQL when it adds a new entry in the hikashop_order table. There is no way to reset that number every year besides deleting all the orders and resetting the auto_increment of the MySQL table, which is probably not something you'll want to do.
In that case, the only solution would be to develop a plugin and implement the onBeforeOrderNumberGenerate(&$data, &$result) trigger and set the order number you want in order $result variable based on the data of the order in $data. And for that, you would have to create a custom order field to store the increment, updating it manually yourself in your plugin, and reseting it when necessary yourself in your plugin.