Dominionist groups--partly because the vast majority are organised as 501(c)3 tax exempt groups--have taken advantage of this increasingly as a funding source.  An example that I've found is with the American Family Association of Kentucky (run by notorious gaybaiter Frank Simon), who per their own website maintain "charity affiliate" relationships with Kroger's, Office Depot, Staples (yes, fully two of three office companies here), Thorton's Gas, and Everycall USA.

Very often, companies are not aware of what they are funding.  To give an example of some of the stuff AFA-KY and/or Frank Simon have pulled in past:

Quotes from Simon and other dominionists (compared with comments from the Nazi Party regarding Jews)
More quotes from Simon and other AFA leaders
Info re the latest anti-Fairness Ordinance mailing from Simon (in which he literally mailed sadomasochistic gay porn to 60,000 households with the stinger "Remember what the homosexual priests did to the children")
Anti-Islamic comments from the dominionist church Simon is affiliated with (Not Southeast Christian, the other one)
More info on the sadomasochistic gay porn Simon mailed in the latest attempt to derail approval of Fairness
Info on how the "gay porn mailing" literally caused two chairpersons to vote pro-Fairness (both of whom have stated they would have voted against Fairness were it not for Simon's mailing)
history on how Simon bought radio ads during the last Fairness vote claiming gay men would rape children (Fairness passed, by the way; the second vote was for a renewal of the ordinance post-governmental-merger)
Info on how Freedom's Heritage Forum has been investigated for illegal electioneering
Inf on how Simon literally accused a mere supporter of Fairness of supporting paedophilia
Info on how Simon attempted to accuse a gay newspaper editor of being a paedophile in support of a political candidate--this led to a libel suit

Simon also, notably, has promoted The Pink Swastika in his literature--that book is a bit of Holocaust revisionism that claims not only that gays were not murdered en masse by the Nazis but that the gays were, quite literally, not only Nazis but the very architects of the Holocaust (which is a bit of Holocaust revisionism designed specifically to appeal to "Christian Zionists"--Simon is the head deacon of the specific Assemblies of God church I walked away from, and the church itself is heavily involved in "Christian Zionism").

There is info re AFA state affiliates here.  Many of them take the same tactics--and partly because these are state affiliates, national and multinational companies may not be aware of the histories of these groups.

I mention this in part because--much like how pressure from progressive groups successfully got Ford to stop kowtowing to AFA's bullying--progressive groups have also successfully cut off funding sources to dominionist groups that are abusing affiliate programs.

One notable example is that of Kingdombuy.com.  Kingdombuy was a front group of the Assemblies of God that operated as a web portal for purchase--essentially, KingdomBuy would specifically register with affiliate programs of major companies, and when people would buy products online through KingdomBuy the latter would donate the money it received from affiliate programs to a number of dominionist groups.

Like the vast majority of Assemblies of God frontgroups, the group never advertised its links to the AoG, but the AoG was more than happy to note its links in its news service and the group was heavily promoted by Assemblies of God churches.  (It is also one of at least forty groups of national or international focus that qualify as AoG front-groups; this is a number comparable with other coercive groups like the Moonies or Scientology.)

One of the particular groups that KingdomBuy partnered with was the American Family Association; another was a group called Abiding Truth Ministries--the same group that publishes "The Pink Swastika".

There were quite a number of companies that KingdomBuy had suckered in as a "charity" towards its peak.  

One group--the Mississippi Gay Lobby, now Equality Mississippi--began the process of a boycott of each of the hundreds of retailers who were promoted via KingdomBuy--and also wrote the companies to inform them of just what their religious affiliate programs were supporting.

Quite a number of the companies were, to put it mildly, rather horrified and started dropping KingdomBuy affiliations.  Enterprise Rent-A-Car, Nordstrom, Wal-Mart (for a time, anyways) and J.C. Penney were among companies that promptly dropped KingdomBuy like a hot potato.

Dominionist groups were not happy.  AFA practically crucified the head of Nordstrom after the CEO mentioned the promotion of the AFA was one of the main reasons they were dropping the KingdomBuy account, including literally accusing the companies that were dropping accounts of "supporting pornography".  

Companies kept dropping accounts after finding out just what KingdomBuy was supporting.  J. Crew specifically even condemned the AFA.  CVS also joined the growing list dropping their affiliations.

Dominionists stepped up and accused boycotters themselves of being pornographers.  The protest was made out in dominionist rags as being  run "by pornographers".

The result of people working together?  Multiple companies--most of whom were unaware of what the American Family Association or its ilk promote--left in droves, and kingdombuy.com's webpage is now dead (there is no longer a web portal operating at the site).

This shows the importance of watching not only national but state affiliates of dominionist groups, and watching specifically who they claim support from--if it's an affiliate program, more often than not (especially if it's an AFA or Family Research Council affiliate) the headquarters--often in another state--don't always know what's up.

We've beaten them before.  This is a way we can starve the beast, folks--to put some action in Talk2Action:

a) research what companies have partnerships with dominionist groups in affiliate programs (this requires going onto dominionist websites themselves--including websites of the churches behind the dominionist movement)

b) write those companies, call them, don't let pressure till they drop the affiliate programs (this is how KingdomBuy's racket was beat).  Include documentation in your letters including examples of the kind of stuff dominionist groups are spewing (this was a big part of the success in the campaign against both Ford's AFA capitulation and against KingdomBuy's racket).

c) For active supporters of dominionism (like Chick-Fil-A or Hobby Lobby--both companies that actively fund the dominionist movement and are very close to dominionist groups), actively boycott them and be sure to tell folks exactly why--explain to them what kinds of stuff dominionist groups explicitly are supporting.