While the CPU, memory and most of the subsystems are connected with 8 bit width, there are two subsystems which use a 16 bit bus. These are the ATA/IDE interface and the Ethernet interface (CS8900a). To access 16 bit with an 8 bit CPU, one has to break accesses. One 16 bit access works out as two consecutive 8 bit accesses. This works as follows.

To read an 16 bit word, the device is accessed with the first access. While it provides its data, the lower half (D0-D7) is read by the CPU while the upper half (D8-D15) is latched (U44). The second access just enables the output buffer of this latch.
To write an 16 bit word, the device is accessed with the second access. The data provided in the first access is latched (U45). With the next access, the latched data is provided as low byte (D0-D7), while the CPU data is provided as high byte (D8-D15).
As the MC68008 always accesses low byte first, word addressing modes with 16 bit are possible. In this way, the address line A0 can be used to determine the current state of an access. A0 is low for the first and high for the second access.