The slower cock is 1/5 of the faster clock. Without the circuit, when the logic comes out of reset, the first edge of the faster clock may be anywhere in the slower clock cycle. I think he wanted to synchronize the reset with the rising edge of the slower clock, so the phase relationship between clocks would always be the same after reset. This might have been important to him, for example if he wanted to pass information between these clock domains.
Your needs are likely different from his, so do not worry about what he's doing. Instead, do what your design requires.