"restricted both" is grammatically correct and can be used in written English.
It is often used to clarify that something is limited in two ways or for two reasons. Example: "The new policy restricted both the amount of vacation days employees could take and the types of expenses they could claim for reimbursement."
More seriously, an obscure heart condition developed which latterly restricted both his golf and his charity work.
Eroticism in theatre, though, is restricted both legally – a male actor in a sex scene must, unrealistically, remain flaccid – and logistically: if a performer is naked, the audience, rather than the director, can decide where to look.
The use and potential of writing were restricted both by the rate of literacy, which was probably well below 1 percent, and by expectations of what writing might do.
Finally, calcareous ooze accumulation is severely restricted both by latitude (being largely confined to a band extending 30° to 40° north and south of the Equator) and abyssal plain depth (approximately 2,000 metres).
The contrast may result from the fact that the female turtle can scoop out a hole deep enough for freezing temperatures not to affect her brood, but the female snake is restricted, both by her limblessness and by the nature of the egg itself, to egg laying on or near the surface, where below-freezing temperatures are unavoidable.
This led Emerman and co-workers to test whether TRIM5α from other primates potently restricted both PtERV1 and HIV-1.
The Beijing Platform's recommendations targeted the unequal power dynamics between women and men that prevent women from equally accessing resources, information and technology and restrict both sexes to restrictive gender roles.
And strangely, this restricts both the rulers and the ruled.
Restricting both of these activities by high fuel taxation threatens future growth and causes misery to millions.
It suits their purpose in trying to restrict both the foreign investment in English clubs and the influx of overseas star players who outnumber the domestic talents.
Meanwhile the NBA and NFL have policies that restrict both reporters and fans live broadcasting footage of the game, the players or backstage action stamped on the back of press passes and tickets.
