Are there buddhists who criticize Eckhart Tolle as it is not really a buddhist teach? If so, what is their critique? Eckhart Tolle is a spiritual teacher who is influenced by Christianity and Buddhism etc. Now he says that there are Buddhists who claim that his teachings are not really Buddhist. But in what way are his teachings not really Buddhist?
If you call something Buddhism it will be attributed to the Buddha and should be inline with the doctrinal system the Buddha taught. If something is not what the Buddha said then it is wrong to miss attributed something to the Buddha as this is what the Buddha taught. A summary of the majority of Buddha's teaching is encompassed in the Wings of Awakening, 3 Marks of Existence, 4 Noble Truths, Dependent Origination. So if what Eckhart Tolle writes does not have these aspects and if what is found in line with the doctrinal system then you cannot call it Buddhism.

Also some of the core teachings of Christianity and Buddhism are not compatible with each other, so any philosophy influenced by both is neither Christianity nor Buddhism.

See: -ism