Installation of splayed tires for road bicycles

According to the pictures you provided, I think the installation direction of your bicycle tires is correct. The tread pattern of the front wheel does have a direction, but it is not installed backwards. The tread pattern of the rear wheel also looks correct.

The tread pattern of bicycle tires is designed to be directional to provide better grip and handling. In most cases, the tread pattern should be consistent with the direction of the bicycle. In other words, when you ride a bicycle, the tread pattern should be that the rear wheel is forward and the front wheel is backward.

However, it should be noted that different tire brands and different types of bicycles may have different tread designs and directions. Therefore, if you have any questions about the tire direction, you'd better check the documentation of your tire brand or model or contact the manufacturer for confirmation.