Dodge bonuses and automatic dodge bonuses are tracked separately; they are not combined to determine a character's automatic dodge bonus
Automatic dodge as per Rifts Ultimate Edition (fourth printing, June 2010) says, in part, that
Bonuses to auto-dodge [i.e. automatic dodge] come from the character's P. P. [Physical Prowess] attribute and any special bonus specifically for it (the bonus, skill or enhancement will say "automatic dodge"). (344)
Automatic dodge as per Heroes Unlimited, Revised Second Edition (first printing, Mar. 1998) says, in part, that
When a character is trying an automatic dodge, only the automatic dodge bonuses (if any) are used. The automatic dodge and regular dodge bonuses are not cumulative. The two maneuvers rely on different techniques and thus have separate bonuses. (67)
This is a big enough deal that the Palladium FAQ (which isn't technically official but which pulls from official sources for answers) for Combat includes this exchange:
I am a bit confused on this autododge issue. Bonuses for normal dodge are for dodging during your HtoH combat. If you run out of attacks, you may still dodge or parry with autododge/parry and the bonuses of autododge only apply to when your melee actions/attacks are used up. Correct?...
Answer: You can use the auto dodge whenever you want in place of a parry without spending any additional attacks/actions to do so. Bonuses from Auto-Dodge come from the P.P. dodge bonus (if any), and any bonuses to auto dodge. This generally means your auto-dodge bonuses are less that normal dodge bonuses, so you may elect to auto dodge and use a smaller bonus, or do a normal dodge with higher bonuses (but using a attack/action). ...
The FAQs were last updated June 2002, so it appears this issue was clarified over a decade ago, but, given that my version of Heroes Unlimited is older than the last FAQ update and that I prefer the original Rifts softcover to the fancy Ultimate Edition (which vastly and unnecessarily limits the availability of secondary skills ), it wouldn't surprise me that many folks still play with a character's regular dodge bonuses applying also to the character's automatic dodge. Here is even a 2014 thread on the Palladium messageboards curious about how this affects products not yet updated for this change.