Switching outputs using ladder logic
Your screen grabs are too difficult to read.

It sounds as though you are looking for a 60 s clock with 50% duty cycle. The normal method is to generate a timing sequence as follows:

               ________          ________
TMR1  ________|        |________|        |_________

TMR2  _________________|_________________|_________


Figure 1. TMR1 output turns on after 30 s and enables TMR2. TMR2 turns on after a further 30 s and resets both TMR 1 and itself.

This is accomplished as follows (without knowing your timer syntax):

Always
  on   +--TMR1--+           Y66
--| |--|EN      |-----------( )--
       |        |
   C1  |        |
--| |--|RST     |
       +--------+

  Y66  +--TMR2--+            C1
--| |--|EN      |-----------( )--
       |        |
   C1  |        |
--| |--|RST     |
       +--------+
  Y66                       Y65
--|/|-----------------------( )--


Figure 2. Ladder layout.