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безосновательно adv. stresses
gen.	for no good reason (Pirvolajnen); without a reasonable basis (Samura88); without cause (Alexander Demidov); improperly (e.g., accused Stas-Soleil); unfoundedly (Stas-Soleil); gratuitously (eugenealper); for no reason (Stas-Soleil)
Gruzovik	without basis; groundlessly
Игорь Миг	on no grounds; without legitimate cause; in an unjustifiable manner
law	unreasonably (Leonid Dzhepko)
безосновательный adj.
gen.	baseless (Here's how some GOP lawmakers have reacted to Trump's baseless allegations of voter fraud); having no basis behind it (4uzhoj); frivolous (Tanya Gesse); causeless; improper (e.g., accusation Stas-Soleil); indefensible (joyand); outlandish (In any given controversy, outlandish and nonsensical accusations will fly. shapker); gratuitous (eugenealper); motiveless (kee46); factless (A Tricky Compromise To Save Factless Evolutionism Young hand)
Gruzovik	unsubstantiated
busin.	unreasonable (Helenia)
law	unjustified (Alexander Matytsin); without good reason (4uzhoj)
philos.	questionbegging (Yanamahan)
rhetor.	ill-founded (Alex_Odeychuk)
slang	off base ("The thought that the stormbringer brings the storm is really off base". == "Слухи, что буревестник якобы приносит бурю, не имеют под собой никаких оснований", - рассказывает орнитолог ученикам о повадках и жизни морских птиц.)
tech.	groundless; unfounded

безосновательно: 42 phrases in 15 subjects

Accounting	1
Diplomacy	1
Figurative	1
General	14
Idiomatic	1
Law	11
Logic	2
Makarov	1
Military	1
Politics	2
Project management	1
Public relations	1
Religion	1
Rhetoric	3
Security systems	1