Yeah, definetely leaf miners. The feeding damage is turning brown because it's old, so they have probably already pupated and flown away.
Not really much you can do about it right now: if you want you can remove the affected leaves but it won't change much since the damage's done. The good news is leaf miner damage on lantanas is merely cosmetic and leaf miners seem to be very cyclical pests, meaning you may not see them again for years or you may be invaded by them next year, who knows?
Unfortunately as the name implies leaf miners feed inside the leaf so they are invariably discovered once they have already started feeding, and at that point only systemic insecticides will kill them.
